A bicycle is moving at 8.3 m/s. What is the angular speed of its tires if their radius is 42 cm?
Tangential speed is given.
angular speed= tangential speed/radius.
To find the angular speed of the tires, we need to use the formula:
angular speed (ω) = linear speed (v) / radius (r)
Given that the linear speed (v) of the bicycle is 8.3 m/s and the radius (r) of the tires is 42 cm, we need to convert the radius to meters:
radius (r) = 42 cm = 42 / 100 = 0.42 m
Now we can substitute the values into the formula:
angular speed (ω) = 8.3 m/s / 0.42 m
angular speed (ω) ≈ 19.76 rad/s
Therefore, the angular speed of the bicycle's tires is approximately 19.76 rad/s.