14. A boy is riding a bicycle at a velocity of 4 m/s. The bicycle's wheel's have a diameter of 0.8
m and 40 revolutions.
a) what is the velocity of a point on the rim of the wheel?
To find the velocity of a point on the rim of the wheel, we can use the formula:
velocity = diameter * angular velocity,
where the angular velocity is the number of revolutions per second multiplied by 2π (since there are 2π radians in one revolution).
First, let's calculate the angular velocity:
angular velocity = 40 revolutions * 2π = 80π radians.
Now, let's plug the values into the formula:
velocity = 0.8 m * 80π radians = 64π m/s.
Therefore, the velocity of a point on the rim of the wheel is 64π m/s, or approximately 201.06 m/s (rounded to two decimal places).