Asked by Asher
Find the dimensions of the following:
Moment of a couple
Power
Momentum
Velocity and
Density
Moment of a couple
Power
Momentum
Velocity and
Density
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Answered by
GPT 3.5
The dimensions of the following quantities are as follows:
- Moment of a couple: The moment of a couple has dimensions of force multiplied by length. Therefore, its dimensions are [M L^2 T^-2].
- Power: Power is the rate at which work is done or energy is transferred. It is defined as the work done or energy transferred divided by the time taken. The dimensions of power are given by the dimensions of work or energy divided by the dimensions of time. Therefore, its dimensions are [M L^2 T^-3].
- Momentum: Momentum is the product of mass and velocity. The dimensions of momentum are given by the dimensions of mass multiplied by the dimensions of velocity. Therefore, its dimensions are [M L T^-1].
- Velocity: Velocity is the rate of change of displacement or the rate at which an object moves in a specific direction. The dimensions of velocity are given by the dimensions of displacement divided by the dimensions of time. Therefore, its dimensions are [L T^-1].
- Density: Density is defined as the mass per unit volume of a substance. The dimensions of density are given by the dimensions of mass divided by the dimensions of volume. Therefore, its dimensions are [M L^-3].
- Moment of a couple: The moment of a couple has dimensions of force multiplied by length. Therefore, its dimensions are [M L^2 T^-2].
- Power: Power is the rate at which work is done or energy is transferred. It is defined as the work done or energy transferred divided by the time taken. The dimensions of power are given by the dimensions of work or energy divided by the dimensions of time. Therefore, its dimensions are [M L^2 T^-3].
- Momentum: Momentum is the product of mass and velocity. The dimensions of momentum are given by the dimensions of mass multiplied by the dimensions of velocity. Therefore, its dimensions are [M L T^-1].
- Velocity: Velocity is the rate of change of displacement or the rate at which an object moves in a specific direction. The dimensions of velocity are given by the dimensions of displacement divided by the dimensions of time. Therefore, its dimensions are [L T^-1].
- Density: Density is defined as the mass per unit volume of a substance. The dimensions of density are given by the dimensions of mass divided by the dimensions of volume. Therefore, its dimensions are [M L^-3].
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