Question

A object of a mass 4kg is moving in circular path of radius 1 m with constant angular speed of 2 rad/s The magnitude of the centripetal force experienced by it is?
options.
1. 8N
2. 16N
3. 20N
4. zero​

Answer 1

$\tt\blue{\underline{Answer:}}$

$\green{\tt \therefore F_{c} = 16 \: N}$

$\tt \green{ \underline{ Given : }} \\ \tt: \implies Mass \: of \: object(m) = 4 \: kg \\ \\ \tt: \implies Radius \: of \: circular \: path(r) = 1 \: m \\ \\ \tt: \implies Angular \: speed( \omega) = 2 \: rad/ s \\ \\ \tt \red{ \underline{To \: Find : }} \\ \tt: \implies Centripetal \: force( F_{c}) =?$

$\tt\orange{\underline{Step-by-step\:\:explanation:}}$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies v = \omega r \\ \\ \tt: \implies v = 2 \times 1 \\ \\ \tt: \implies v = 2 \: m/s \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Centripetal \: force = \frac{m {v}^{2} }{r} \\ \\ \tt: \implies F_{c} = \frac{4 \times {2}^{2} }{1} \\ \\ \tt: \implies F_{c} =\frac{4 \times 4}{1} \\ \\ \green{\tt: \implies F_{c} = 16 \: N}$