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Questions and Answers
What is the corresponding void ratio of an unconsolidated soil heap of volume 1000 m3 when consolidated to a volume of 800 m3?
What is the corresponding void ratio of an unconsolidated soil heap of volume 1000 m3 when consolidated to a volume of 800 m3?
What is the maximum speed of a vehicle on a circular path of radius 300 m with a super elevation of 0.1 m?
What is the maximum speed of a vehicle on a circular path of radius 300 m with a super elevation of 0.1 m?
What is the RQD of the rock mass given the formula $RQD = 100 × (0.1λ + 1) × exp(−0.1λ)$?
What is the RQD of the rock mass given the formula $RQD = 100 × (0.1λ + 1) × exp(−0.1λ)$?
What is the maximum charge length for a blast hole with a diameter of 165 mm to behave as a spherical charge?
What is the maximum charge length for a blast hole with a diameter of 165 mm to behave as a spherical charge?
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How much volume of blasted rock per round is expected from a rectangular development heading of size 3 m × 2.8 m?
How much volume of blasted rock per round is expected from a rectangular development heading of size 3 m × 2.8 m?
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What is the maximum production capacity from Face 1 of an open pit iron ore mine?
What is the maximum production capacity from Face 1 of an open pit iron ore mine?
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What is the production cost of ores from Face 2 in INR per tonne?
What is the production cost of ores from Face 2 in INR per tonne?
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What is the minimum Fe grade of the blended ores supplied from two production faces?
What is the minimum Fe grade of the blended ores supplied from two production faces?
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What is the probability that exactly one dumper is available to the shovel in an M/M/1 system with the given parameters?
What is the probability that exactly one dumper is available to the shovel in an M/M/1 system with the given parameters?
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When a project is crashed by one week, what will be the increase in project cost (in lakh INR)?
When a project is crashed by one week, what will be the increase in project cost (in lakh INR)?
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Match the mine plan features with their corresponding symbols correctly.
Match the mine plan features with their corresponding symbols correctly.
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If the relationship between the principal stresses is given as 𝜎3 = −2𝜎1, what is the expression for maximum shear stress?
If the relationship between the principal stresses is given as 𝜎3 = −2𝜎1, what is the expression for maximum shear stress?
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Which of the following ore types is NOT used for commercial extraction of metal?
Which of the following ore types is NOT used for commercial extraction of metal?
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What is the mean arrival rate for the dumpers per hour in the M/M/1 system?
What is the mean arrival rate for the dumpers per hour in the M/M/1 system?
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For an M/M/1 system, if the service rate for the shovel is 12 dumpers per hour, what does this imply about the system's efficiency?
For an M/M/1 system, if the service rate for the shovel is 12 dumpers per hour, what does this imply about the system's efficiency?
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In the context of the project network, what could be a consequence of crashing an activity with high crashing cost?
In the context of the project network, what could be a consequence of crashing an activity with high crashing cost?
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What is the best match for the blanks in the phrase: Yoko Roi stands ___ as an author for standing ___ as an honorary fellow?
What is the best match for the blanks in the phrase: Yoko Roi stands ___ as an author for standing ___ as an honorary fellow?
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If seven identical cylindrical chalk-sticks fit tightly in a cylindrical container, what is the ratio of the occupied space to the empty space of the container?
If seven identical cylindrical chalk-sticks fit tightly in a cylindrical container, what is the ratio of the occupied space to the empty space of the container?
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According to the relationship depicted, which statement about the mortality risk of cardiovascular disease is true based on steps per day?
According to the relationship depicted, which statement about the mortality risk of cardiovascular disease is true based on steps per day?
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Which of the following describes the best interpretation of Yoko Roi's contributions mentioned in the blanks?
Which of the following describes the best interpretation of Yoko Roi's contributions mentioned in the blanks?
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What can be inferred about the empty space in the cylindrical container with the chalk-sticks inside?
What can be inferred about the empty space in the cylindrical container with the chalk-sticks inside?
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Which factor is suggested to most significantly impact cardiovascular disease risk according to the stated graph?
Which factor is suggested to most significantly impact cardiovascular disease risk according to the stated graph?
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What does the plot mentioned suggest about the relationship between steps taken and health outcomes?
What does the plot mentioned suggest about the relationship between steps taken and health outcomes?
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In the context of the cylindrical arrangement, what factor most directly limits the number of chalk-sticks that can fit inside the container?
In the context of the cylindrical arrangement, what factor most directly limits the number of chalk-sticks that can fit inside the container?
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What is the optimal production from two faces for maximizing profit when the selling price of blended iron ores is INR 4500 /tonne?
What is the optimal production from two faces for maximizing profit when the selling price of blended iron ores is INR 4500 /tonne?
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What is the natural ventilation pressure in Pa when one district of the mine is sealed off with a change in resultant resistance of 0.072 Ns2 m−8?
What is the natural ventilation pressure in Pa when one district of the mine is sealed off with a change in resultant resistance of 0.072 Ns2 m−8?
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If matrix A is given by $egin{pmatrix}1 & 4 & 3 \ 5 & 2 & 1 \ 6 & 4 & 3 ext{ } \ \ \ \ \ \ \0 \} ext{ }$ and B = A − A^T, what type of matrix is B?
If matrix A is given by $egin{pmatrix}1 & 4 & 3 \ 5 & 2 & 1 \ 6 & 4 & 3 ext{ } \ \ \ \ \ \ \0 \} ext{ }$ and B = A − A^T, what type of matrix is B?
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On which day is the Trigger Action Response Plan (TARP) enforced based on the roof convergence data?
On which day is the Trigger Action Response Plan (TARP) enforced based on the roof convergence data?
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How much is the fan drift pressure during ventilation in the mine measured in kPa?
How much is the fan drift pressure during ventilation in the mine measured in kPa?
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What is the total quantity of ventilation when the fan is stopped and one district is sealed, measured in m3/min?
What is the total quantity of ventilation when the fan is stopped and one district is sealed, measured in m3/min?
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If the convergence reading on day 5 is recorded at 4.7 mm, what is the rate of convergence by that day?
If the convergence reading on day 5 is recorded at 4.7 mm, what is the rate of convergence by that day?
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What is the maximum recorded convergence reading over the 30 days in the coal mine gallery?
What is the maximum recorded convergence reading over the 30 days in the coal mine gallery?
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What is the expected PPV at a distance of 200 m from the blast face if the site constants K and β are assumed to remain constant?
What is the expected PPV at a distance of 200 m from the blast face if the site constants K and β are assumed to remain constant?
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Given that the tension in the tight side of a belt drive is 2.5 times that of the slack side, if the slack side tension is T, what is the maximum allowable tension in the tight side?
Given that the tension in the tight side of a belt drive is 2.5 times that of the slack side, if the slack side tension is T, what is the maximum allowable tension in the tight side?
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If a belt setup requires a minimum width according to a maximum allowable tension of 8.0 N/mm, what impacts the calculated minimum width?
If a belt setup requires a minimum width according to a maximum allowable tension of 8.0 N/mm, what impacts the calculated minimum width?
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What is the minimum length of the winding rope required if it must last 3.5 years, considering capping every 6 months?
What is the minimum length of the winding rope required if it must last 3.5 years, considering capping every 6 months?
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What factor is neglected in the winding rope calculations that may affect the required length?
What factor is neglected in the winding rope calculations that may affect the required length?
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For a flat belt powered by a 35.0 kW motor, what is key to ensuring efficient power transfer?
For a flat belt powered by a 35.0 kW motor, what is key to ensuring efficient power transfer?
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Considering the maximum life of a rope is 3.5 years, how often should the rope be replaced?
Considering the maximum life of a rope is 3.5 years, how often should the rope be replaced?
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What is the importance of having at least 2 rounds of the rope remaining on the drum before the cage lands?
What is the importance of having at least 2 rounds of the rope remaining on the drum before the cage lands?
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Study Notes
English Language Usage
- Yoko Roi is recognized as an author.
- She is an honorary fellow.
- Her writings advocate for freedom of speech.
Mining Engineering
- Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container.
- The container's length equals the chalk-sticks' length.
- The ratio of occupied space to empty space in the container is 7/2.
Cardiovascular Disease
- There is a relationship between mortality risk of cardiovascular disease and steps walked per day.
- The reduction in risk is greater when increasing steps per day from 10,000 to 20,000 than from 0 to 10,000.
M/M/1 System
- In an M/M/1 system, the inter-arrival time of dumpers to a shovel follows an exponential distribution.
- The mean arrival rate is 9 dumpers per hour.
- The service time of the shovel also follows an exponential distribution with a mean service rate of 12 dumpers per hour.
- The probability of exactly one dumper waiting for the shovel service is 1/4.
Project Network
- A project network with 5 activities is represented.
- The project can be crashed by one week, increasing the project cost by 2.5 lakh INR.
Mine Plan Symbols
- A shaft is represented by symbol 2.
- A staple shaft is represented by symbol 1.
- An abandoned shaft is represented by symbol 3.
- An abandoned staple shaft is represented by symbol 4.
Rock Mechanics
- The maximum shear stress for a rock element with major (σ1) and minor (σ3) principal stresses where σ3 = (-1/2)σ1 is given by (1/2)σ1.
Ore Extraction
- Wolframite is not used for commercial metal extraction.
Sound Pressure Level
- The sound pressure level of the dumper alone is 81.1 dB(A).
Soil Mechanics
- An unconsolidated soil heap with a volume of 1000 m3 has a void ratio of 1.0.
- When consolidated to a volume of 800 m3, the void ratio is 0.50.
Road Engineering
- For a circular path with a radius of 300 m and a super elevation of 0.1 m for a width of 1.6 m, the maximum speed of a vehicle to avoid overturning is 17.32 m/s.
Rock Quality Designation (RQD)
- The RQD of a rock mass with a frequency of discontinuity per meter (𝜆) is calculated using the formula: RQD = 100 × (0.1𝜆 + 1) × exp(-0.1𝜆).
Blasting
- For a 165 mm diameter blast hole in a VCR stope, the maximum charge length to ensure spherical charge behavior is 0.83 m.
Mine Development
- The volume of rock blasted per round in a 3 m × 2.8 m rectangular development heading using 2.4 m long holes with a pull factor of 0.95 and swell factor of 1.20 is 13.51 m3.
Open Pit Mining
- Two iron ore mine faces with different production capacities and grades are considered for blending to ensure a minimum Fe grade of 60%.
- The maximum combined production limit is 2500 tonne/day.
- The optimal production from each face for maximizing profit is 1333.3 tonne/day for face 1 and 1166.7 tonne/day for face 2.
Mine Ventilation
- Four identical mine districts are ventilated with a quantity of 3500 m3/min at a fan drift pressure of 1.15 kPa.
- When one district is sealed, the resultant resistance changes by 0.072 Ns2m−8.
- With the fan stopped and one district sealed, the ventilation quantity becomes 850 m3/min.
- The natural ventilation pressure is 144.56 Pa.
Matrix Operations
- For matrix A = [[1 4 3], [5 2 1], [6 4 3]] and B = A - A^T, B is skew symmetric.
Mine Monitoring
- A coal mine gallery has roof convergence data for 30 days.
- A Trigger Action Response Plan (TARP) is implemented if the convergence rate exceeds 1.5 mm/day and the cumulative convergence increase exceeds 1.0 mm/day.
- TARP is enforced on day 22 in the gallery.
Rock Blasting
- The PPV at a distance of 200 m from the blast face is 35.00 mm/s.
Power Transmission
- A 35.0 kW motor drives a 600 mm diameter pulley rotating at 400 rpm.
- The tension in the tight side is 2.5 times that of the slack side.
- The maximum allowable tension is 8.0 N per mm of belt width.
- The minimum width of the belt is 187.50 mm.
Winding System
- A 1.2 m diameter winding drum system is used for manwinding cages.
- A new rope is recapped every 6 months, requiring a 2 m cut before recapping.
- The maximum rope life is 3.5 years.
- At least 2 rounds of rope must remain on the drum when the cage reaches the bottom landing point.
- To prevent overwinding, the minimum length of the new rope is 450.00 m.
Continuous Miner (CM) Panel
- In a CM panel, the following data is given:
- Face length = 250 m
- Width = 5.5 m
- Height = 3.0 m
- Coal density = 1.4 tonne/m3
- Average cutting rate = 0.8 m/min
- CM cycle time = 50 min
- Utilization factor = 80%
- Blast hole diameter = 100 mm
- Blasting pattern = 1.5 m × 1.5 m
- Charge per hole = 5 kg/hole
- Swell factor = 1.2
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Description
This quiz explores the relationship between cardiovascular disease mortality risk and the number of steps walked daily. It highlights how increasing daily steps from 10,000 to 20,000 shows a different risk reduction compared to starting from 0. Test your understanding of these crucial health statistics.
