An electric motor performs 4{}500\text{ J} of mechanical work in 15\text{ seconds}. What i… — Armed Services Vocational Aptitude Battery (ASVAB)

An electric motor performs $4{}500\text{ J}$ of mechanical work in $15\text{ seconds}$ . What is the power output of the motor, in watts?

Answer: 300 W

The power output of the motor is

300\text{ W}

Power is calculated by dividing work by time (

P = \frac{W}{t}

). Dividing

4{}500\text{ J}

15\text{ s}

yields

300\text{ W}

Identify the relationship between power, work, and time.

P = \frac{W}{t}

Power is defined scientifically as the rate of doing work or transferring energy per unit time.

Substitute the given work (

4{}500\text{ J}

) and time (

15\text{ s}

) into the power equation.

P = \frac{4{}500\text{ J}}{15\text{ s}} = 300\text{ W}

Dividing total work in joules by elapsed time in seconds yields the power in watts (

1\text{ W} = 1\text{ J/s}

Power is the rate at which work is performed over time (

P = \frac{W}{t}

Estimated Time:45s

Question