Question

5. A body goes round the circumference of a circle of radius 2 m with an
angular velocity of 2 rad/s. Its centripetal acceleration is
O 3 m/s2
O 1.5 m/s2
O 6 m/s2
O 12 m/s2

Answer 1

Answer:

Explanation:

R=2m.  w=2rad/s. Centripital accerlation = ?     C= v2/r.   V=rw ,2.2=4   c=4.4/2=8rad/s    

                                                                                                                                 

Answer 2

Given:

A body goes round the circumference of a circle of radius 2 m with an angular velocity of 2 rad/s.

To find:

Centripetal acceleration?

Calculation:

• Let centripetal acceleration be a_(c):

$\therefore \: a_{c} = \dfrac{ {v}^{2} }{r}$

$\implies \: a_{c} = { \bigg( \dfrac{v}{r} \bigg) }^{2} \times r$

$\implies \: a_{c} = { \omega }^{2} \times r$

$\implies \: a_{c} = {2 }^{2} \times 2$

$\implies \: a_{c} = 8 \: m {s}^{ - 2}$

So , centripetal acceleration is 8 m/s².

• Please note that the options given in the question are wrong.