Question

A point on the rim of a wheel with a diameter of 1 250 mm has a velocity of 396 km/h. Calculate the following: 2.2.1 The revolutions per minute

Answer 1

First, we need to convert the velocity from km/h to m/s:

396 km/h * 1000 m/km * 1h/3600s = 110 m/s

Next, we need to calculate the circumference of the wheel:

Circumference = π * diameter
Circumference = π * 1250 mm = 3927.99 mm

Now we convert the circumference from mm to meters:

3927.99 mm * 1 m/1000 mm = 3.92799 m

Now, we can calculate the distance the point on the rim of the wheel travels in one revolution:

Distance = circumference = 3.92799 m

Finally, we can calculate the number of revolutions per minute:

Velocity = distance / time
110 m/s = 3.92799 m / t

t = 3.92799 m / 110 m/s = 0.0356 s

Now we calculate the number of revolutions per minute:

1 / 0.0356 s = 28.09 rev/s
28.09 rev/s * 60 s/min ≈ 1685 revolutions per minute

Therefore, the point on the rim of the wheel is moving at approximately 1685 revolutions per minute.