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?
Which formula correctly represents power in terms of work done and time?
Which formula correctly represents power in terms of work done and time?
What unit is used to express the dimension of voltage?
What unit is used to express the dimension of voltage?
Which of the following relates to the dimensional formula for acceleration?
Which of the following relates to the dimensional formula for acceleration?
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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?
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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?
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Which of these quantities has dimensions represented as ML²T⁻³A⁻²?
Which of these quantities has dimensions represented as ML²T⁻³A⁻²?
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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?
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What is the correct expression for work done using the torque formula?
What is the correct expression for work done using the torque formula?
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What is the correct dimensional representation of reactance?
What is the correct dimensional representation of reactance?
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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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Description
Test your understanding of fundamental physical dimensions and their corresponding units. This quiz covers concepts such as mass, length, speed, acceleration, power, and more, including their expressions in various forms. Get ready to challenge your knowledge on how these dimensions interact in physics!
