If it takes an object 68 seconds to make 16 rotations, what would be the period of rotation?

T=16/68

Is this right?

exactly the reverse

period = time/rev = 68/16

always watch the units

16/68 is how much of a revolution it makes in 1 second.

Not to mention you rarely use rev/sec in a Physics class. Rad/sec is more correct:

16(2pi)/68

so rad/sec is better than time/rev?

generally, yes, though in this problem, all you wanted was the time period, in seconds.

No, the formula you have used is incorrect. The period of rotation is the time it takes for the object to complete one full rotation. To find the period, you need to divide the total time by the number of rotations.

In this case, you are given that it takes 68 seconds for 16 rotations. To find the period, you should divide 68 seconds by 16 rotations.

Therefore, the correct formula to find the period of rotation would be:

T = Total time / Number of rotations

T = 68 seconds / 16 rotations

After performing the division, the period of rotation can be calculated as:

T ≈ 4.25 seconds