Question

if it rotates through 8.00 revolutions in the first 2.50 s , how many more revolutions will it rotate through in the next 5.00 s ?

Answer 1

To find the number of additional revolutions the object will rotate through in the next 5.00 s, you can calculate the average angular velocity and then use it to find the number of additional revolutions.

Step-by-step explanation:

To find the number of revolutions the object will rotate through in the next 5.00 s, we need to know the average angular velocity of the object during the first 2.50 s. Given that it rotates through 8.00 revolutions in the first 2.50 s, we can calculate the average angular velocity:

Average angular velocity = number of revolutions / time
Average angular velocity = 8.00 revolutions / 2.50 s
Average angular velocity = 3.20 revolutions/s

Since we know the average angular velocity, we can find the number of additional revolutions using the formula:

Number of additional revolutions = angular velocity × time
Number of additional revolutions = 3.20 revolutions/s × 5.00 s
Number of additional revolutions = 16.00 revolutions

Answer 2

The object will complete an additional 16.00 revolutions in the next 5.00 seconds, assuming a constant rate of rotation.

Step-by-step explanation:

The question inquires about the additional number of revolutions a rotating object will complete in a subsequent time given its initial rate of rotation over a different time interval. To understand this physics problem, we presume uniform angular velocity unless acceleration is specified.

Since the object completes 8.00 revolutions in 2.50 s, we calculate the rate of revolutions per second by dividing the total revolutions by the total time:

Rate = (8.00 revolutions) / (2.50 s) = 3.20 revolutions per second

Now, to figure out how many more revolutions the object will rotate through in the next 5.00 s, we simply multiply the rate by the additional time:

Additional revolutions = (3.20 revolutions/s) * 5.00 s = 16.00 revolutions