A car tyre rotates 6 times a second. The tire has a diameter of 36 cm. Find the angular velocity inradians per secon
Question
A car tyre rotates 6 times a second. The tire has a diameter of 36 cm. Find the angular velocity inradians per secon
Solution
Sure, here is the step by step solution:
Step 1: Convert the number of rotations per second into radians per second.
We know that one full rotation is equal to 2π radians.
So, the angular velocity (ω) in radians per second is given by the formula:
ω = number of rotations per second * 2π
Step 2: Substitute the given values into the formula.
ω = 6 rotations/second * 2π
Step 3: Calculate the result.
ω = 12π radians/second
So, the angular velocity of the car tyre is 12π radians per second.
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