which of the following is not a unit of rotational ,speed?
a)meter per second
b)revolutions per minute
c) revolutions per second
d)rotations per second
a) meter per second
a bicycle has a wheel of radius of 35.56cm.what is the angular speed of the wheels when the bicycle has a forward speed of 8.0m\s?
We can start by using the formula:
v = rω
where:
v = linear speed or velocity (in m/s)
r = radius of the wheel (in meters)
ω = angular speed or velocity (in radians/s)
First, let's convert the radius of the wheel to meters:
r = 35.56 cm = 0.3556 m
Next, we can plug in the given values and solve for ω:
v = 8.0 m/s
r = 0.3556 m
v = rω
ω = v/r
ω = (8.0 m/s)/(0.3556 m)
ω = 22.5 rad/s
Therefore, the angular speed of the wheels is 22.5 radians/s.
To determine which of the given options is not a unit of rotational speed, let's review each option:
a) Meter per second: This is a unit of linear speed, commonly used to measure how far an object travels in a given time. It is not specifically related to rotational speed.
b) Revolutions per minute: This unit is commonly used to measure rotational speed. It represents the number of complete revolutions an object makes in one minute.
c) Revolutions per second: This is another unit used to measure rotational speed. It represents the number of complete rotations an object makes in one second.
d) Rotations per second: Similar to "revolutions per second," this unit is also used to measure rotational speed. It represents the number of complete rotations an object makes in one second.
From the above options, the correct answer is (a) Meter per second, as it is not a unit typically used to measure rotational speed.