Question

A car with a mass of 150. kg makes one lap around a track with a radius of 55 meters in 172.7 s. What is the velocity of the car? (Use π= 3.14)

Answer 1

Given: A car with a mass of 150 kg makes one lap around a track with a radius of 55 meters in 172.7 s.

To find: The velocity of the car.

Solution:

• Speed of an object is the distance travelled by it with respect to time.
• It is given by the formula,

        $s = \frac{d}{t}$

• Here, s is the speed of the car, d is the distance and t is the time taken.
• The distance travelled by the car is equal to the circumference of the track and it is calculated as,

        $c = 2\pi r$

           $= 2 * \pi * 55m$

           $= 345.71 m$

• So, the speed is calculated as,

        $s = \frac{345.71m}{172.7s}$

           $= 2ms^{-1}$

Therefore, the velocity of the car is 2ms⁻¹.

Answer 2

Answer:

A car with a mass of 150 kg makes one lap around a track with a radius of 55 meters in 172.7 s.

To find: The velocity of the car.

Solution:

Speed of an object is the distance travelled by it with respect to time.

It is given by the formula,

s = \frac{d}{t}s=

t

d

Here, s is the speed of the car, d is the distance and t is the time taken.

The distance travelled by the car is equal to the circumference of the track and it is calculated as,

c = 2\pi rc=2πr

= 2 * \pi * 55m=2∗π∗55m

= 345.71 m=345.71m

So, the speed is calculated as,

s = \frac{345.71m}{172.7s}s=

172.7s

345.71m

= 2ms^{-1}=2ms

−1

Therefore, the velocity of the car is 2ms⁻¹.