A small toy car is moving around a circular path once in every 8 sec. The radius of track is 3m. find speed of car.
V = (2 pi R)/8 = pi*(3/4) m/s
To find the speed of the car, we need to determine how far it travels in one complete revolution around the circular path.
The distance traveled by an object moving in a circular path is given by the formula:
Distance = Circumference of the circle
The circumference of a circle is calculated using the formula:
Circumference = 2 * π * r
Given that the radius of the track is 3m, we can substitute this value into the formula:
Circumference = 2 * π * 3 = 6π m
Since the car completes one revolution every 8 seconds, we can calculate the speed by dividing the distance traveled by the time taken:
Speed = Distance / Time
Speed = (6π m) / (8 s)
Simplifying the expression, we get:
Speed = 3/4 π m/s
Therefore, the speed of the car is 3/4 π m/s.