159

You visited us 159 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Dimensional Analysis

An object of ...

Question

An object of mass m has angular acceleration $a = 0.2$ rad $s^{- 2}$ . What is the angular displacement covered by the object after $3$ second? (Assume that the object started with angle zero with zero angular velocity).

Open in App

Solution

Given : $α = 0.2 r a d / s$ $t = 3 s$ $w_{i} = 0$
Angular displacement $θ = w_{i} t + \frac{1}{2} α t^{2}$
where $t = 3 s$
So, $θ = 0 + \frac{1}{2} \times 0.2 \times 3^{2} = 0.9 r a d$
$⟹ θ = 0.9 \times \frac{180}{π} = 51^{o}$

Suggest Corrections

Similar questions

An object of mass m S angular acceleration=0.2rad s^-2. What is the angular displacement covered by the object after 3 seconds?( assume that the object started with angle zero with zero angular velocity)

Q. An object is found to rotate with an angular velocity

ω (t) = 5 t + 3

, where

ω

is measured in radians per second. The initial angular displacement of the object is zero.
Which of the following best corresponds to the angular displacement of the object after

5

seconds?

Q. A wheel is rotating with an angular velocity of 3 rad

s^{- 1}

. If the angular acceleration is 2 rad

s^{- 2}

then angular velocity after 5 seconds.

Q. A particle is moving in a circular path with an angular velocity of

2 rad/s

and angular acceleration of

α = \frac{5}{2} ω

,where

ω

is the angular velocity at any particular instant. Find the angular velocity after the particle has moved through an angle of

3 π

Q. A car wheel rotates with an angular acceleration

α = 4 t^{3} (in rad / s^{2})

where

t

is the time taken (in seconds). If the wheel has initial angular velocity

ω_{0} = 20 r a d / s

, then the angular velocity

ω (t)

after

2 s

Join BYJU'S Learning Program

An object of mass m has angular acceleration a=0.2 rad s−2. What is the angular displacement covered by the object after 3 second? (Assume that the object started with angle zero with zero angular velocity).

Given : α=0.2 rad/s t=3 s wi=0Angular displacement θ=wit+12αt2where t=3 sSo, θ=0+12×0.2×32=0.9 rad⟹θ=0.9×180π=51o

An object of mass m has angular acceleration $a = 0.2$ rad $s^{- 2}$ . What is the angular displacement covered by the object after $3$ second? (Assume that the object started with angle zero with zero angular velocity).

Given : $α = 0.2 r a d / s$ $t = 3 s$ $w_{i} = 0$
Angular displacement $θ = w_{i} t + \frac{1}{2} α t^{2}$
where $t = 3 s$
So, $θ = 0 + \frac{1}{2} \times 0.2 \times 3^{2} = 0.9 r a d$
$⟹ θ = 0.9 \times \frac{180}{π} = 51^{o}$