Question

A car runs on a circular track has a radius 100m .if the car takes 6.28 on each laps , its average speed is

Answer 1

Radius of track = 100 m

Time taken for each lap = 6.28 sec

To find:

Average Speed of the car

Calculation:

Average Speed is defined as the ratio of total distance travelled to the total time taken to cover that distance.

Since distance is involved, we can say that it's a scalar quantity having only magnitude and no direction.

$avg. \: v = \dfrac{distance}{time}$

$= > avg. \: v = \dfrac{2\pi r}{time}$

$= > avg. \: v = \dfrac{2 \times (3.14) \times 100}{6.28}$

$= > avg. \: v = 100 \: m {s}^{ - 1}$

So the car has 100 m/s Average Velocity

Answer 2

Answer:

Explanation:

Given :-

Radius of circular track = 100 m

Time taken to cover each lap = 6.28 seconds

To Find :-

Average speed

Formula to be used :-

Average speed = Distance/Time

i.e Average speed = 2πr/t

Solution :-

Putting all the values, we get

Average speed = 2πr/t

⇒ Average speed = 2 × 3.14 × 100/6.28   [Taking π = 3.14]

⇒ Average speed = 628/6.28

⇒ Average speed = 100 m/s

Hence, the average speed is 100 m/s.

Terms related to the topic :-

Speed - Speed is the rate of change of distance.

Average speed - Average speed is defines as the total distance traveled, divided by the total time taken.