A wheel is turning at a speed of 2.0 rev/sec and is allowed to coast to rest. If it does so in 30 sec, how far did it turn in the process? Assume uniform acceleration.
a = (Vf - Vo) / t,
a = (0 - 2) / 30 = -0.06666.
d = Vo*t + 0.5at^2,
d = 2*30 - 0.03333*(30)^2 = 30m.
d =
To find the distance the wheel turned, we can use the formula for the distance traveled during uniform acceleration:
distance = average speed * time
First, let's find the average speed of the wheel. The wheel is turning at a speed of 2.0 rev/sec, which means it completes 2 revolutions every second. Since one revolution is the same as the circumference of the wheel, the average speed can be calculated as:
average speed = 2.0 rev/sec * circumference
Now, we know that the wheel comes to rest in 30 seconds. We can use this information to calculate the distance traveled:
distance = average speed * time
distance = (2.0 rev/sec * circumference) * 30 sec
To find the circumference of the wheel, we need to know its radius or diameter. Can you provide the radius or diameter of the wheel?