A beetle sits at the top of a bicycle wheel and flies away just before it would be squashed. Assuming that the wheel turns clockwise, the beetle's angular displacement is 3.14 radians, which corresponds to an arc length of 1.2 m. What is the wheel's radius?
To find the wheel's radius, we can use the formula relating angular displacement, arc length, and radius.
The formula is:
arc length = radius * angular displacement
In this case, the arc length is given as 1.2 m, and the angular displacement is given as 3.14 radians.
We can rearrange the formula to solve for the radius:
radius = arc length / angular displacement
Substituting the values given:
radius = 1.2 m / 3.14 radians
To get the answer, divide 1.2 m by 3.14 radians:
radius ≈ 0.38 m
Therefore, the wheel's radius is approximately 0.38 meters.