Podcast
Questions and Answers
What are the dimensions of torque in terms of mass, length, and time?
What are the dimensions of torque in terms of mass, length, and time?
- ML²T⁻³
- ML²T⁻² (correct)
- ML²T⁻⁴
- M²L²T⁻²
Which formula correctly represents power in terms of work done and time?
Which formula correctly represents power in terms of work done and time?
- Power = Mass x Acceleration
- Power = Force x Distance
- Power = Work Done / Charge
- Power = Work Done / Time (correct)
What unit is used to express the dimension of voltage?
What unit is used to express the dimension of voltage?
- ML²T⁻²A⁻¹ (correct)
- M²L²T⁻²
- ML²T⁻³
- ML²T⁻²
Which of the following relates to the dimensional formula for acceleration?
Which of the following relates to the dimensional formula for acceleration?
What is the dimensional formula of energy, given that energy is equivalent to work?
What is the dimensional formula of energy, given that energy is equivalent to work?
In the context of dimensional analysis, which of the following would NOT maintain dimensional consistency?
In the context of dimensional analysis, which of the following would NOT maintain dimensional consistency?
Which of these quantities has dimensions represented as ML²T⁻³A⁻²?
Which of these quantities has dimensions represented as ML²T⁻³A⁻²?
If a system's dimensions include $M^{a}L^{b}T^{c}$ and are combined with $ML^{3}T^{-1}$, what do you need to check for?
If a system's dimensions include $M^{a}L^{b}T^{c}$ and are combined with $ML^{3}T^{-1}$, what do you need to check for?
What is the correct expression for work done using the torque formula?
What is the correct expression for work done using the torque formula?
What is the correct dimensional representation of reactance?
What is the correct dimensional representation of reactance?
Flashcards
Dimensions of Mass
Dimensions of Mass
The dimension of mass is represented by the symbol M and has the unit kg (kilograms).
Dimensions of Time
Dimensions of Time
The dimension of time is represented by the symbol T and has the unit s (seconds).
Dimensions of Length
Dimensions of Length
The dimension of length is represented by the symbol L and has the unit m (meters).
Dimensions of Acceleration
Dimensions of Acceleration
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Dimensions of Voltage
Dimensions of Voltage
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Dimensions of Power
Dimensions of Power
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Dimensions of Torque
Dimensions of Torque
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Dimensions of Area
Dimensions of Area
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Dimensions of Volume
Dimensions of Volume
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Formula for Voltage
Formula for Voltage
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Study Notes
Dimensions
- Mass: kg, M
- Time: s, T
- Length: m, L
- Area: m2, L2
- Volume: m3, L3
- Speed: m/s, LT-1
- Acceleration: m/s2, LT-2
- Power: kg⋅m2/s3, ML2T-3
- Work/Energy: kg⋅m2/s2, ML2T-2
- Voltage: W⋅d = F⋅x⋅d = ML2T-2 / A⋅T
- Resistance: MLT-2A-1
- Reactance: ML2T-3A-2
- Impedance:MLT-1A-2
- Boltzmann constant: no units
Examples
- If the dimension of power is given by: MLaTb
Acceleration
- Acceleration = Δ in vel / time
Torque
- Torque = F ⋅ x⋅d = (m ⋅ a) ⋅ x = (kg ⋅ m/s2) ⋅ m = kg⋅m2/s2 = ML2T-2
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