A car is going round an a circular road of radius 100 m at a speed of 5m/s. The angular speed of the car will be :A 0.05 rad/s2 B 5 rad/s2 C 20 rad/s2 D 0.02 rad/s2
Question
A car is going round an a circular road of radius 100 m at a speed of 5m/s. The angular speed of the car will be :A 0.05 rad/s2 B 5 rad/s2 C 20 rad/s2 D 0.02 rad/s2
Solution
The angular speed (ω) of an object moving in a circle is given by the formula:
ω = v/r
where: v = linear speed (in this case, the speed of the car) r = radius of the circle (in this case, the radius of the road)
Given: v = 5 m/s r = 100 m
Substituting these values into the formula, we get:
ω = 5 m/s / 100 m = 0.05 rad/s
So, the correct answer is A: 0.05 rad/s.
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