Question

A lift motor has to move a fully laden lift 5.18 m between floor 1 and floor 2. The lift has a mass of 2150kg and takes 9.16 s to move from floor 1 to floor 2. What is the power of the lift in watts during this time? (Assume that acceleration due to gravity is 9.81 m/s2; round your answer to two decimal places; DO NOT include units)

Answer 1

To find the power of the lift motor, we can use the formula Power = (Force * Distance) / Time. By plugging in the given values and rounding to two decimal places, the power of the lift motor is found to be 2440.16 W.

Step-by-step explanation:

To find the power of the lift motor, we need to first calculate the work done by the motor. The work done is equal to the force applied multiplied by the distance moved. In this case, the force applied is equal to the weight of the lift, which is the mass multiplied by the acceleration due to gravity. The distance moved is given as 5.18 m.

Next, we need to calculate the time taken to complete this distance. The time given is 9.16 s.

The power is then calculated by dividing the work done by the time taken. Remember to round your answer to two decimal places.

Using the formula:

Power = Work / Time

Power = (Force * Distance) / Time

Power = (Mass * Acceleration due to Gravity * Distance) / Time

Plugging in the given values:

Power = (2150 * 9.81 * 5.18) / 9.16

Power = 2440.16 W