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?
3 answers
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?
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
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
1 answer