CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

An object travels around a circle of radius 6 m with speed 3π ms1. Find the distance and displacement after 3 s.

A
9π m, 62 m
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
9π m,0 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12π m,62 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12π m,0 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 9π m, 62 m
Given:
Radius of the circle, r=6 m
Time taken, t=3 s
Speed, v=3π ms1
Distance travelled is the product of speed and time.
d=3π×3=9π m
Circumference, C=2πr=12π m
In 3s it would have travelled,
d3=9π12π=(34)th of the circle.
We know, displacement is the shortest distance between initial and final points.
Since the object covers (34)th of the circle), the object starts its journey from point A and ends its journey at point B.
Therefore, displacement of the object is AB.
AB=AO2+OB2
AB=62+62 (using Pythagoras theorem)
AB=62 m

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Uniform circular motion - concept
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon