how long will take a 1750w motor to

Precious Singano

Precious Singano

Answered question

2022-07-07

how long will take a 1750w motor to lift a 285kg piano to six-story window 16m above

 

Answer & Explanation

madeleinejames20

madeleinejames20

Skilled2023-06-06Added 165 answers

To solve this problem, we can use the concepts of work, power, and time. Let's break it down step by step:
Given:
Power of the motor, P=1750W
Mass of the piano, m=285kg
Height of the window, h=16m
First, we need to calculate the work done to lift the piano. The work done is equal to the product of force and displacement. In this case, the force is the weight of the piano and the displacement is the height of the window.
The weight of the piano can be calculated using the equation F=mg, where g is the acceleration due to gravity. Therefore, F=(285kg)(9.8m/s2)=2793N.
The work done to lift the piano is given by the equation:
W=F·h
Substituting the values, we have:
W=(2793N)(16m)=44688J
Next, we can calculate the time taken to perform this work using the power equation. Power is the rate at which work is done, given by the equation P=Wt, where t is the time.
Rearranging the equation, we have:
t=WP
Substituting the known values, we have:
t=44688J1750W
Simplifying the equation, we find:
t25.54s
Therefore, it will take approximately 25.54s for the 1750W motor to lift the 285kg piano to a six-story window 16m above.

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