Q. 135.0( 3 Votes )

Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations?

Answer :

According to the question given that;

Mass of first car = m1.


The radius of first car = r1.


Mass of second car = m2.


The radius of second car = r2.


Now let;


The speed of first car = V1.


The speed of second car = V2.


Time is taken for the first car to complete = T1 =


Time is taken for the second car to complete = T2 = .


According to question;


T1 = T2.


.



.


Hence the ratio of speeds is .


Centripetal acceleration of First car a1 =


Centripetal acceleration of Second car a2 =






Hence the ratio of centripetal acceleration is


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get to Know About Kepler's LawGet to Know About Kepler's LawGet to Know About Kepler's Law47 mins
Lakhmir Singh | Part1 (Gravitation)Lakhmir Singh | Part1 (Gravitation)Lakhmir Singh | Part1 (Gravitation)44 mins
Variation of Acceleration due to GravityVariation of Acceleration due to GravityVariation of Acceleration due to Gravity39 mins
NCERT | Gravitation (Part1)NCERT | Gravitation (Part1)NCERT | Gravitation (Part1)43 mins
What is Upthrust and Buoyancy?What is Upthrust and Buoyancy?What is Upthrust and Buoyancy?40 mins
Quiz | GravitationQuiz | GravitationQuiz | Gravitation9 mins
Know More About Archimedes PrincipleKnow More About Archimedes PrincipleKnow More About Archimedes Principle49 mins
Become a Master in Universal Law of Gravitation !!Become a Master in Universal Law of Gravitation !!Become a Master in Universal Law of Gravitation !!47 mins
Foundation | Most Challenging Numericals on GravitationFoundation | Most Challenging Numericals on GravitationFoundation | Most Challenging Numericals on Gravitation38 mins
Gravitation Part-1Gravitation Part-1Gravitation Part-141 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :