A coin sits 0.10m from the center of a

Question

record player spinning at 45rpm.
a)
What is the frequency in Hertz?
b)
What is the period?
c)
What is the linear speed?

Answer 1

a) The frequency in Hertz can be calculated using the formula:
f = RPM/60
where RPM is rotations per minute. In this case, the RPM is given as 45 rpm, so:

f = 45/60 = 0.75 Hz

b) The period can be calculated using the formula:
T = 1/f
where f is the frequency we calculated in part (a). So:

T = 1/0.75 = 1.33 seconds

c) The linear speed of the coin can be calculated using the formula:
v = rω
where r is the distance from the center of the record player to the coin and ω is the angular velocity of the record player. The angular velocity can be calculated using the formula:
ω = 2πf
where f is the frequency we calculated in part (a). So:

ω = 2π(0.75) = 4.71 rad/s

Substituting the values we have:

v = 0.10m * 4.71 rad/s = 0.471m/s

So the linear speed of the coin is 0.471 m/s.