Question 170: Motion in 2D & Vectors

Question

In the given figure, a = 15 m s$$-$$2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is

Accepted Answer

Here $${a_c} = a\cos {30^o}$$ = 15 $$ 	imes $$ $${{\sqrt 3 } \over 2}$$ m/s
2
We know, $${a_c} = {{{v^2}} \over R}$$
$$ \Rightarrow $$ $$v = \sqrt {{a_c}R} $$ = $$\sqrt {15 	imes {{\sqrt 3 } \over 2} 	imes 2.5} $$ = 5.7 m/s

Answer

4.5 m s$$-$$1

Answer

5.0 m s$$-$$1

Answer

5.7 m s$$-$$1

Answer

6.2 m s$$-$$1

Motion in 2D & Vectors

In the given figure, a = 15 m s$-$2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is

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