A small toy car moves around a circular track onces in every 8s. The radius of track is 3m. Find the speed of car.
3*2pi/8 = ? m/s
To find the speed of the car, we need to first calculate the distance traveled by the car in one complete revolution around the circular track.
The distance traveled by the car in one complete revolution is equal to the circumference of the circular track. The formula to calculate the circumference of a circle is given by:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, the radius of the circular track is given as 3m. Substituting this value into the formula, we get:
C = 2π(3)
C = 6π
Now, we know that the car takes 8 seconds to complete one revolution around the circular track. So, the speed of the car can be calculated by dividing the distance traveled by the time taken:
Speed = Distance / Time
In this case, the distance traveled is equal to the circumference of the circular track which is 6π meters, and the time taken is 8 seconds. Substituting these values into the formula, we get:
Speed = 6π / 8
Simplifying this expression, we get:
Speed = (3/4)π
So, the speed of the car is (3/4)π meters per second.