Question

The tram's motor operates at 550 V and consumes 70 A of electricity for 3 hours. Calculate the work done by the motor.

Answer 1

Given:

• Voltage, V = 550 V

,

• Current, I = 70 A

,

• Time, t = 3 hours

Let's calculate the work done by the motor.

To calculate the work done, first find the amount of energy used.

$P=I*V$

Thus, we have:

$\begin{gathered} P=70*550 \\ \\ P=38500\text{ Watts} \end{gathered}$

Now, to calculate the work done by the motor in 3 hours, apply the formula:

$W=P*t$

Where:

P is the power in watts = 38500 W

t is the time in seconds = 3 x 60 minutes x 60 seconds

Hence, we have:

$\begin{gathered} W=38500*3*60*60 \\ \\ W=38500*10800 \\ \\ W=415800000\text{ J} \\ \\ W=415.8\times10^6\text{ J} \\ \\ W=415.8\text{ MJ} \end{gathered}$

Therefore, the work done by the motor is 415.8 Mega Joules.

ANSWER:

C. 415.8 MJ