Final answer:
To find the angular velocity in rev/s, divide the total number of revolutions by the total time. With 7360 revolutions and 37.0 seconds, the velocity is approximately 199 rev/s.
Step-by-step explanation:
The student's question is about calculating the angular velocity in revolutions per second (rev/s) given the total number of revolutions and time. To determine the angular velocity, we use the formula for average angular velocity (ω), which is the number of revolutions (Θ) divided by the time (t): ω = Θ / t. We are given 7360 revolutions and 37.0 seconds. So, v = 7360 rev / 37.0 s.
To give me complete calculated answer, the velocity of the object in revolutions per second is calculated as follows:
v = 7360 rev / 37.0 s = 198.91891892 rev/s. To round it to a reasonable number of significant figures, based on the given data, the velocity is approximately 199 rev/s.
Radians are important in calculations involving angular motion, and we use the fact that 1 revolution is equal to 2π radians to convert between these units if required. However, for this calculation, we are simply dividing the total number of revolutions by the total time, so the conversion to radians is not necessary.