Physics 2008 JAMB Past Questions - Question 6: If a wheel 1.2m in diameter rotates at one revolution per second,calculate the velocity of the wheel

Correct Answer

B

Explanation

v= wr = 2 x 3.14 x 0.6 = 3768
To calculate the velocity of the wheel, you can use the formula for the circumferential velocity of a rotating object. The formula is:

Velocity (v) = 2 * π * r * f

Where:
- v is the velocity in meters per second (m/s)
- π (pi) is approximately 3.14159
- r is the radius of the wheel in meters
- f is the frequency of rotation in revolutions per second (rev/s)

In this case, the diameter of the wheel is given as 1.2 meters, so the radius (r) is half of that, which is 0.6 meters. The frequency of rotation (f) is 1 revolution per second.

Now, plug these values into the formula:

v = 2 * π * 0.6 * 1

v = 2 * 3.14159 * 0.6 * 1

v ≈ 3.76991 m/s

So, the velocity of the wheel is approximately 3.76991 meters per second when it rotates at one revolution per second.