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Mechanical power is a measure of the rate at which work is performed or energy is transferred within mechanical systems. The expression for mechanical power uses the same basic formula as all types of power: P = W / t where P is power in watts, W is work in joules and t is time in seconds.
Power in mechanical systems is the combination of forces and movement. In particular, power is the product of a force on an object and the object's velocity, or the product of a torque on a shaft and the shaft's angular velocity. Mechanical power is also described as the time derivative of work.
(C) calculate the mechanical energy of, power generated within, impulse applied to, and momentum of a physical system. Use the lab titled Work and Energy as a supplement to address content in this section.
In the context of mechanical systems, mechanical power is an aggregation of both forces and movement. Specifically, power is an object's velocity multiplied by the object's force. This accounts for the distance per time. In the context of a shaft, power is calculated as the product of a shaft's torque with its angular velocity.
Mechanical Power Formula. Work is the change of energy in a system when a force acts on it. If a force does an amount of work \(W\) in a time interval, we can calculate the average power due to the force as \[\begin{align}P_{\text{avg}}&=\frac W{\Delta t},\\P_{\text{avg}}&=\frac{\Delta E}{\Delta t}.\end{align}\]
Mechanical power can be calculated using the formula: Power = Work / Time. One watt is defined as one joule of work done per second. In rotational systems, mechanical power can also be expressed as Power = Torque x Angular Velocity.
power = force × velocity. e.g. power = work done time taken. power = force × distance (in direction of the force) time taken, so power = force × velocity. (However, this only works if the velocity is steady, i.e. the force is not the resultant force on the moving object.)
Mechanical power refers to the rate at which work can be done. It is a power output, as opposed to a power input (see Figure 1). The power input is referring to how fast the fuel's energy is converted to power to use for the car.
Mathematically, we therefore have for the power delivered by a given force is: \[ P \equiv \dfrac{dW}{dt} \] Since the units of work is Joules, the units of power is Joules per second, which we rename as: watts (\(W\)). One nice shortcut for power involves the force doing the work and the velocity of the object on which the work is being performed:
Power = T.ω. where N = Speed in r.p.m. Power in mechanical systems is the combination of forces and movement. In particular, power is the product of a force on an object and the object's velocity, or the product of a torque on a shaft and the shaft's angular velocity.