0

Guest

Courses New

If mass, speed and radius of rotation of a body moving on a circular path are increased by 50% then to keep the body moving in circular path increase in force required will be-

If mass, speed and radius of rotation of a body moving on a circular path are increased by 50% then to keep the body moving in circular path increase in force required will be-

Grade:11

2 Answers

Vikas TU
14149 Points
7 years ago
Initially Force required that is,
F = mv^2/r
After all gets increased by 50% that is m to (m+m/2), v by (v+v/2) and r by (r + r/2) then,
new Force becomes,
F’ = (m/2)*(v^2/4)/(r/2) => mv^2/4r
dividing both we get,
F/F’ = 4
or
F’ = F/4 Hence the new fofrce must be decreased by one – fourth of the initial one.
Pawan Anil kapade
11 Points
5 years ago
Initial force required,F¹=m1v1/(R1)^2m2=m1+50%m1=3/2m1v2=v1+50%v1=3/2v1r2=r1+50%r1= 3/2r1F¹/F²=4/9%change in force=[(F²-F¹)/F¹]×100%=125%

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More