Problem 7P

You rev your car's engine to 2700 rpm (rev/min). (a) What are the period and frequency of the engine? (b) If you change the period of the engine to 0.044 s, how many rpms is it doing?

Solution 7P

Step 1 of 2

Part a

For the given angular frequency, we are required to calculate the period and frequency.

There are 2700 revolutions in 1 min

There are 2700 revolutions in 60 s.

Time for 1 revolution s

s

Therefore, the period is 0.022 s.

Frequency = 1/period

= 1/0.022 Hz

= 45.5 Hz

Therefore, the frequency is 45.5 Hz.