A car moves with a velocity v in a circular p | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The car is moving in a circular path,so it experiences two types of acceleration:$1$. Centripetal acceleration $(a_c)$,which is directed towards t

Vedclass · Accepted Answer

$[\frac{v^4}{r^2} + g^2]^{1/2}$

Vedclass · Answer

(C) The car is moving in a circular path,so it experiences two types of acceleration:$1$. Centripetal acceleration $(a_c)$,which is directed towards the center: $a_c = \frac{v^2}{r}$.$2$. Tangential acceleration $(a_t)$,which is given as $a_t = g$.Since these two accelerations are perpendicular to each other,the net acceleration $(a_{net})$ is the vector sum of the two:$a_{net} = \sqrt{a_c^2 + a_t^2}$Substituting the values:$a_{net} = \sqrt{(\frac{v^2}{r})^2 + g^2}$$a_{net} = \sqrt{\frac{v^4}{r^2} + g^2} = [\frac{v^4}{r^2} + g^2]^{1/2}$.

$A$ car moves with a velocity $v$ in a circular path of radius $r$. If its tangential acceleration is $g \, m/s^2$,what is the magnitude of the net acceleration of the car?

Similar Questions

For a particle in a uniformly accelerated circular motion:

For circular motion,if $\vec a_t$,$\vec a_c$,$\vec r$ and $\vec v$ are tangential acceleration,centripetal acceleration,radius vector and velocity respectively,then find the wrong relation.

$A$ particle is moving along a circular path of radius $R$ in such a way that at any instant the magnitude of radial acceleration and tangential acceleration are equal. If at $t = 0$ the velocity of the particle is $V_0$,the time period of the first revolution of the particle is:

$A$ cyclist is riding with a speed of $36 \,km/h$. As he approaches a circular turn on the road of radius $50 \,m$, he applies brakes and reduces his speed at the constant rate of $0.5 \,m/s^2$. The magnitude and direction of the net acceleration of the cyclist on the circular turn are respectively:

If the mass,speed,and radius of an object are increased by $50\%$,what is the percentage increase in the centripetal force?

Vedclass Test Series

Exam Paper Generator

Online Exam Module