A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and completes 120 revolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and completes 120 revolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in $m / s^{2}$ ) [2024]

1 $4 π^{2} m s^{- 2}$

2 $57600 π^{2} m s^{- 2}$

3 $16 π^{2} m s^{- 2}$

4 Zero

Ans.
(3)

Given : R = 9m and 120 revolutions in 3 min

Angular velocity, $ω = \frac{120 R e v .}{3 m i n .} = \frac{120 \times 2 π r a d}{3 \times 60 s e c} = \frac{4 π}{3} r a d / s$

$a_{c e n t r i p e t a l} = ω^{2} R = {(\frac{4 π}{3})}^{2} \times 9 = 16 π^{2} m / s^{2}$

Want Us to Email you About Special Offers & Updates?