An electric motor exerts a force of 40 N on a cable and pulls it by distance of 30 m in one minute. The power supplied by the motor (in watt) is
A motor is a device that converts electrical energy into mechanical energy through electromagnetic principles. It typically consists of a rotor and a stator, enabling rotation. Motors are widely used in various applications including household appliances vehicles and industrial machinery providing essential motion for different tasks.
Chapter 5 of Class 11 Physics covers work energy and power concepts. It explains how work is done when a force acts on an object energy transformations and the principle of conservation of energy. The chapter also introduces different energy forms such as kinetic and potential and defines power as the rate of doing work.
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Use the formula for power to calculate how much power the motor supplies.
Power (P) = Work done (W) / Time (t)
Step 1: Calculate work done
Work done (W) is given by the formula
W = Force × Distance
Given:
Force (F) = 40 N
Distance (d) = 30 m
Now, calculate the work done:
W = 40 N × 30 m
W = 1200 J (joules)
Step 2: Convert time from minutes to seconds
Since the motor pulls the cable in one minute,
Time (t) = 1 minute = 60 seconds
Step 3: Calculate the power
Now, substitute the values into the power formula:
P = W / t
P = 1200 J / 60 s
P = 20 W
Final Answer:
The power supplied by the motor is 20 watts.
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