Topic 8: Power – Definition, Formula & Units (Imp)

Power

Power is defined as the rate of doing work or the rate at which energy is transferred.

Definition of Power

Power is the work done per unit time.

Formula for Power

Power (P) = Work done (W) / Time (t)

P = W / t

SI Unit of Power

The SI unit of power is watt (W).

One watt is the power when one joule of work is done in one second.

Relation between Power, Force and Velocity

When a force acts on a moving body:

P = F × v

Factors Affecting Power

  • Amount of work done
  • Time taken to do the work

Commercial Unit of Power

A commonly used larger unit of power is horsepower (hp).

1 hp = 746 W

Examples of Power

  • A fast runner has more power than a slow runner
  • Powerful machines do work in less time
Q1. Power is defined as:
A) Work done
B) Energy stored
C) Rate of doing work
D) Force applied

Answer: C


Q2. Formula for power is:
A) P = F × s
B) P = W × t
C) P = W / t
D) P = m × v

Answer: C


Q3. SI unit of power is:
A) Joule
B) Newton
C) Watt
D) Pascal

Answer: C


Q4. One watt is equal to:
A) 1 J / min
B) 1 J / s
C) 1 N / m
D) 1 N × s

Answer: B


Q5. Commercial unit of power is:
A) Watt
B) Joule
C) Horsepower
D) Newton

Answer: C


Q6. Relation between power, force and velocity is:
A) P = F / v
B) P = v / F
C) P = F × v
D) P = F + v

Answer: C


Q7. 1 horsepower is equal to:
A) 100 W
B) 746 W
C) 1000 W
D) 746 J

Answer: B


Q8. A machine doing more work in less time has:
A) Less power
B) More power
C) Zero power
D) Constant power

Answer: B

Chapter 3: Work, Energy & Power

Topic 8: Power – Quick Revision

1. Definition

Power is the rate of doing work.

2. Formula

P = W / t

3. SI Unit

Watt (W)

4. Important Relation

P = F × v

5. Commercial Unit

Horsepower (hp), 1 hp = 746 W

Exam Focus (MHT-CET)

MCQs and numericals are frequently asked on power formula, unit conversion and relation with force and velocity.


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