Question

A particle move in a circle with constant speed 10m/s the radius of the circle is 2 then the centripetal acceleration of the particle is​

Answer 1

Explanation:

YesYesYesYesYesYesYesYesYesYesYesYes

Answer 2

$\huge\mathbb\fcolorbox{pink}{lavenderblush}{♡Correct Question}$

A particle is describing uniform circular motion on a circle of radius 5 cm with speed of 10cm/s,it's centripetal acceleration will be

A)50cm s^-2

B)2cm s^-2

C)2.5cm s^-2

D)20cm s^-2​

$\huge\mathbb\fcolorbox{purple}{Green}{☆AnSwER♡}$

Given :-

• A particle is describing uniform circular motion on a circle of radius of 5 cm with speed of 10 cm/s.

To Find :-

• What is the centripetal acceleration.

Formula Used :-

♣ Centripetal Acceleration Formula :

$\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{a_c =\: \dfrac{v^2}{r}}}}\\\end{gathered} ⟼ a c​ = rv 2$

where,

c = Centripetal Acceleration

v = Velocity or Speed

r = Radius

$\Huge \fbox{{\color{Full}{\textsf {\textbf {Solution :-}}}}}$

Speed = 10 cm/s

Radius = 5 cm

According to the question by using the formula we get,

$\dashrightarrow \sf a_c =\: \dfrac{(10)^2}{5}⇢a c​ = 5(10) 2$

$\dashrightarrow \sf a_c =\: \dfrac{10 \times 10}{5}⇢a c​ = 510×10​ \dashrightarrow \sf a_c =\: \dfrac{\cancel{100}}{\cancel{5}}⇢a c​ = 5​ 100 ​ \dashrightarrow \sf a_c =\: \dfrac{20}{1}⇢a c​ = 120​ \dashrightarrow \sf\bold{\red{a_c =\: 20\: cm/s^2}}⇢a c​ =20cm/s 2$

The centripetal acceleration is 20 cm/s².

Hence, the correct options is option no (D) 20 cm/s².