CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A car runs at a constant speed on a circular track of radius 100m, taking 62.8seconds for every circular lap. The average velocity and average speed for each circular lap respectively is:


A

0,0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

0,10m/s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

10m/s,10m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

10m/s,0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

0,10m/s


Step 1: Given

Radius of the track, r=100m

Time, t=62.8seconds

Step 2: Formula used

  1. Averagevelocity=Displacementtime
  2. Averagespeed=Distancecoveredtime

Step 3: Determine the average velocity

As the track is circular, the total displacement will be zero.

Displacement is the shortest distance covered. And in the case of a circular path, the initial and final points coincide. Hence, the shortest distance will be zero.

Averagevelocity=Displacementtime=062.8=0

Step 4: Determine the average speed

The distance covered will be the circumference of the track.

Averagespeed=Trackcircumferencetime=2πrt=2×3.14×10062.8=10m/s

Hence, option B is the correct option.


flag
Suggest Corrections
thumbs-up
9
BNAT
mid-banner-image