A coin sits 0.10m from the center of a
record player spinning at 45rpm.
a)
What is the frequency in Hertz?
The frequency can be calculated using the formula:
f = rpm/60
where rpm is revolutions per minute.
f = 45/60 = 0.75 Hz
A coin sits 0.10m from the center of a
record player spinning at 45rpm.
a)
What is the frequency in Hertz?
b)
What is the period?
c)
What is the linear speed?
a) The frequency is 0.75 Hz.
b) The period is the inverse of frequency, so:
T = 1/f = 1/0.75 = 1.33 seconds
c) The linear speed can be calculated using the formula:
v = rω
where r is the distance from the center (0.10 m) and ω is the angular velocity in radians per second. We can convert rpm to radians per second using the conversion factor:
1 revolution = 2π radians
45 rpm = 45/60 revolutions per second = 0.75 revolutions per second
ω = 0.75 x 2π = 4.71 rad/s
Now we can calculate the linear speed:
v = 0.10 x 4.71 = 0.471 m/s
To calculate the frequency in Hertz, we need to use the formula:
frequency = (rotation per minute) / 60
Given that the record player is spinning at 45rpm, we can substitute this value into the formula:
frequency = 45 / 60
Simplifying the expression:
frequency = 0.75 Hz
Therefore, the frequency of the spinning record player is 0.75 Hz.