A bicycle is moving at 8.84 m/s. What is the angular speed of its tires if their radius is 35.5 cm?
Question
A bicycle is moving at 8.84 m/s. What is the angular speed of its tires if their radius is 35.5 cm?
Solution
To find the angular speed, we can use the formula that relates linear speed (v) and angular speed (ω) for a rotating object: v = rω, where r is the radius of the object.
First, we need to make sure that the units of the radius are consistent with the units of the speed. The speed is given in m/s, but the radius is given in cm. We need to convert the radius from cm to m.
1 m = 100 cm, so 35.5 cm = 0.355 m.
Now we can rearrange the formula to solve for ω: ω = v / r.
Substituting the given values into the formula gives us: ω = 8.84 m/s / 0.355 m = 24.9 rad/s.
So, the angular speed of the bicycle's tires is 24.9 rad/s.
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