If a wheel 211 cm in diameter takes 2.25 s for each revolution, find its period.

T=?s

T = 2.25 s. = Time for i rev. = Period.

so T=2.25 secs/rev because that's the period for one revolution.

then use v=(2*pi*r)/ T to find v
Pi=3.14
r=radius 2.25/2=1.125
T=2.25
so v=3.14

then use your found v to find omega (w)
v(sub)t=r*w
so rearrange v(sub)t to get w
w=r*v(sub)t
w=1.125/3.14=0.358

The period of a wheel can be found by dividing the time it takes for one revolution by the number of revolutions. In this case, the time for one revolution is given as 2.25 seconds.

To find the period, we divide 2.25 seconds by 1 revolution:

T = 2.25 s / 1 revolution

Therefore, the period of the wheel is 2.25 seconds.

To find the period of a wheel, we can use the formula:

Period (T) = 1 / Frequency (f)

The frequency of the wheel is the number of revolutions per second. Since the wheel takes 2.25 seconds for each revolution, the frequency would be:
f = 1 / 2.25

To calculate this value, we simply divide 1 by 2.25:
f = 0.444

Now, we can find the period using the frequency:
T = 1 / f
T = 1 / 0.444

By dividing 1 by 0.444, we find that the period of the wheel is approximately 2.252 s.