Question

A cyclist moving on a circular track of radius 50m he complete one revolution in 4minutes

what is the average speed ?

what is the average velocity in one fall revolution ?

Answer 1

Solution :-

As per the given data ,

• Radius of the circular track = 50 m
• Time taken to complete 1 revolution = 4 min = 4 x 60 = 240 s

(1)

Distance is the actual path  covered by the object .

It is a scalar quantity .

Distance covered by the cyclist = Circumference of the circular path

We know that ,

➜ Circumference of the circular path  = 2 π r

➜ Circumference of the circular path  = 2 x 3.14 x 50 = 314 m

➜ Distance covered = 314 m

➜ Average speed = total distance / total time taken

➜ Average speed = 314 / 240

➜ Average speed = 1.3 m/s

The average speed of the cyclist is 1.3 m/s

(2)

Displacement is the shortest distance traveled by the body between it's initial and final position .

As the initial and the final position of the cyclist is the same .

➜ Displacement = 0

➜ Average velocity = Displacement / time

➜ Average velocity = 0 / 240

➜ Average velocity = 0

The average velocity of the cyclist is 0

Answer 2

Solution

Given ,

• the radius of the circular track is 50m .
• complete one revolution in 4 minutes .

To find ,

• who have to find here the average speed
• the average velocity 1in 1 fall revolution

Now ,

distance = circumference of the circle

=> Distance = 2πr

=> distance = 2×3.14×50

=> distance = 314 m

Now ,

• converting the time from minutes to seconds .

=> 4×60 = 240seconds

a) to find average speed we know we have to use the formula ;

=> Average speed = Total distance / total time taken

• solving and putting the value in this we get ;

=> 314/240 = 1.308m/s

Now ,

• displacement = completing one Revolution and comes back to its initial position again

So ,

• to find the average velocity we know that we have to use the formula

=> average velocity = total displacement / time taken

• solving and putting the value we get ;

=> 0/240

=> 0 m/sec

The average speed is 1.308m/s and the average velocity is 0m/sec .

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✨Additional Information✨

• displacement is the shortest path between the final and the initial position .
• how slow or fast the object is moving is known as its speed .
• motion is the change of position it can be described in terms of the distance moved or the displacement .
• the motion of an object could be uniform and non uniform depending on whether its velocity is constant or changing.
• the selection of an object is the change in velocity per unit time
• the speed of an object is the distance covered per unit time and velocity is the displacement per unit.

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