A particle travels in a circle of radius 1.0 cm with a speed given by v = 2.0 t , where v is in cm/s and t is in seconds. Calculate the radial acceleration of the particle at t = 1 s .

Correct answer: D. 4.0 cm/s^2 Given radius r = 1.0 cm and speed v = 2.0 t . At t = 1 s , the speed of the particle is v = 2.0 × 1 = 2.0 cm/s . The radial acceleration is given by the formula a_r = (v^2)/(r) . Substituting the values, a_r = ((2.0)^2)/(1.0) = 4.0 cm/s^2 .

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Circular Motion

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Circular Motion

A particle travels in a circle of radius 1.0 cm with a speed given...

A particle travels in a circle of radius

1.0 \text{ cm}

with a speed given by

v = 2.0 t

, where

v

is in

\text{cm/s}

and

t

is in seconds. Calculate the radial acceleration of the particle at

t = 1 \text{ s}

Options

A $2.0 \text{ cm/s}^2$
B $1.0 \text{ cm/s}^2$
C $8.0 \text{ cm/s}^2$
D $4.0 \text{ cm/s}^2$

Correct answer

D. $4.0 \text{ cm/s}^2$

Step-by-step solution

Given radius

r = 1.0 \text{ cm}

and speed

v = 2.0 t

.

At

t = 1 \text{ s}

, the speed of the particle is

v = 2.0 \times 1 = 2.0 \text{ cm/s}

.

The radial acceleration is given by the formula

a_r = \dfrac{v^2}{r}

.

Substituting the values,

a_r = \dfrac{(2.0)^2}{1.0} = 4.0 \text{ cm/s}^2

Practice Circular Motion on Quantrex Academy →

More from Circular Motion