A car is travelling with linear velocity 'V' | vedclass

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

Question

(B) The car experiences two types of acceleration while moving on a circular path with increasing speed:$1$. Radial (centripetal) acceleration: $a_r =

Vedclass · Accepted Answer

$\sqrt{(\frac{V^4}{r^2}+a^2)}$

Vedclass · Answer

(B) The car experiences two types of acceleration while moving on a circular path with increasing speed:$1$. Radial (centripetal) acceleration: $a_r = \frac{V^2}{r}$,which is directed towards the center of the circular path.$2$. Tangential acceleration: $a_t = a$,which is directed along the tangent to the path.Since these two accelerations are perpendicular to each other,the resultant acceleration $a_R$ is given by the vector sum:$a_R = \sqrt{a_r^2 + a_t^2}$Substituting the values:$a_R = \sqrt{(\frac{V^2}{r})^2 + a^2}$$a_R = \sqrt{\frac{V^4}{r^2} + a^2}$

$A$ car is travelling with linear velocity '$V$' on a circular road of radius '$r$'. If its velocity is increasing at a rate of '$a$' $ms^{-2}$,then the resultant acceleration will be

Similar Questions

What is the angle between the tangential component and the radial component of linear acceleration for circular motion (in $^{\circ}$)?

The distance of a particle moving on a circle of radius $12 \, m$ measured from a fixed point on the circle and measured along the circle is given by $s = 2t^3$ (in meters). The ratio of its tangential to centripetal acceleration at $t = 2 \, s$ is .........

$A$ particle moves in a circle with speed $v$ varying with time as $v(t) = 2t$. The total acceleration of the particle after it completes $2$ rounds of the cycle is:

An object is moving on a circular track of radius $450\, m$. At some instant,the object is moving at $30\, m/s$ and gaining speed at a uniform rate of $2\, m/s^2$. Its acceleration at this instant is nearly .......... $m/s^2$.

The angular velocity of a particle of a rigid body is not constant. Which of the following statements is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module