how long will it take a 1750-watts motor to a lift a 285-kg piano to a sixth storey window 1.6 meters above
P=F*d/t
p=1750 w
F=weight of the piano=9.81*285
solve for t! :D
To determine how long it will take for a 1750-watt motor to lift a 285-kg piano to a sixth-story window 1.6 meters above, we need to calculate the work done and then use the power equation.
1. First, calculate the work done using the formula:
Work = force × distance
Since the force is equal to the weight of the piano, which is given by:
Force = mass × gravity
Mass = 285 kg
Gravity = 9.8 m/s² (approximate acceleration due to gravity)
Force = 285 kg × 9.8 m/s² = 2793 N (approximate force)
Distance = 1.6 meters
Work = 2793 N × 1.6 meters = 4469.6 joules
2. Next, use the power equation to find the time it will take:
Power = Work / time
Power = 1750 watts
Time = Work / Power
Time = 4469.6 joules / 1750 watts
Time ≈ 2.55 seconds
Therefore, it will take approximately 2.55 seconds for the 1750-watt motor to lift the 285-kg piano to a sixth-story window 1.6 meters above.
To calculate the time it takes for a motor to lift a piano to a certain height, we need to use the formulas related to work, power, and energy.
First, let's calculate the work done by the motor to lift the piano:
Work (W) = Force (F) * Distance (d)
The force can be calculated using the weight of the piano:
Force (F) = Mass (m) * Acceleration due to gravity (g)
Since the piano is being lifted vertically, the acceleration due to gravity is 9.8 m/s^2.
Force (F) = 285 kg * 9.8 m/s^2
Now, we can calculate the work done:
Work (W) = F * d
Work (W) = (285 kg * 9.8 m/s^2) * 1.6 m
Next, we can calculate the time using the power of the motor:
Power (P) = Work (W) / Time (t)
Given that the power of the motor is 1750 watts, we can rearrange the equation to solve for time:
Time (t) = Work (W) / Power (P)
Now, let's substitute the values and calculate the time:
Time (t) = ((285 kg * 9.8 m/s^2) * 1.6 m) / 1750 watts
By performing the calculation, we can determine the time it takes for the motor to lift the piano to the sixth storey window.