Question

A truck takes 20s to move around a circle of radius 14m .calculate1)average speed 2)average velocity in one round around the circle

Answer 1

Given the Radius of the Circle : 14m

We know that Circumference of a Circle is given by : 2π × Radius of the Circle

⇒ Circumference of the Given Circle = 2π × 14m

⇒ Circumference of the Given Circle = 2 × 22/7 × 14 = 88m

We can Notice that : This Circumference is the Distance traveled by the Truck.

⇒ Distance traveled by the Truck in one round : 88m

We know that Average Speed = Ratio of Total Distance Traveled to that of Total time taken.

⇒ Average Speed of the Truck = 88/20 = 4.4 meter per second

As the Truck after making one round return's to its Initial position, the Displacement of the Truck is Zero

We know that Average Velocity is the Ratio of Displacement to that of Total time taken.

As the Displacement is Zero

⇒ Average Velocity of the Truck is Zero

Answer 2

Answer:

1) Average speed in the one round around the circle is equal to 4.4m/s.

2) Average velocity in the one round around the circle is equal to zero.

Explanation:

We have given,

The Radius of the Circle, r = 14m

We know, circumference of a circle = 2πr

Circumference of the given circle $=2\pi (14)$

                                                         $=2*\frac{22}{7}*(14)\\ =88m$

Circumference of the circle is equal to the distance traveled by the truck in one round around the circle.

The distance traveled by the truck  = 88m

Average Speed is given by the ratio of total distance traveled to total time taken.

Average Speed of the truck $= \frac{88}{20} = 4.4 ms^{-1}$

As the truck after making one round around the circle return's to its initial position.

Therefore, the displacement of the truck = 0

Average velocity is calculated from the ratio of displacement to total time taken.

Average velocity of the truck = 0