A merry-go-round makes 23 revolutions in a 2.8min ride.
Part A
What is its average angular speed in rad/s?
Va=23rev/2.8min * 2pirad/rev * 1min/60s=
0.274 rad/s.
A merry-go-round makes 23 revolutions in a 3.5min ride.
To calculate the average angular speed of the merry-go-round, we need to know the total angle rotated and the time taken.
Given that the merry-go-round makes 23 revolutions, we can calculate the total angle as follows:
Total angle = 23 revolutions × 360 degrees = 8280 degrees
Next, we convert the angle from degrees to radians since we need the angular speed in rad/s. We can use the conversion factor:
1 revolution = 2π radians
So, the total angle in radians is:
Total angle in radians = 8280 degrees × (2π/360) radians/degree
Now, we need to calculate the time taken for the ride:
Time = 2.8 minutes
To convert the time to seconds, we use the conversion factor:
1 minute = 60 seconds
Time in seconds = 2.8 minutes × 60 seconds/minute
Finally, we can calculate the average angular speed:
Average angular speed = Total angle in radians / Time in seconds
By substituting the values, we can find the answer.