(C) The angular displacement is given by $\theta(t) = 2t^3 + 0.5$.The angular velocity $\omega$ is the rate of change of angular displacement with res

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

(C) The angular displacement is given by $\theta(t) = 2t^3 + 0.5$.The angular velocity $\omega$ is the rate of change of angular displacement with respect to time,given by $\omega = \frac{d\theta}{dt}$.Differentiating $\theta(t)$ with respect to $t$: $\omega = \frac{d}{dt}(2t^3 + 0.5) = 6t^2$.To find the angular velocity at $t = 2 \, s$,substitute $t = 2$ into the expression for $\omega$:$\omega = 6 \times (2)^2 = 6 \times 4 = 24 \, rad/s$.

Class 11 Chemistry Data Entry - Chemistry Level 0 of all question bank

If the equation for the angular displacement of a particle moving on a circular path is given by $\theta(t) = 2t^3 + 0.5$,where $\theta$ is in radians and $t$ is in seconds,then the angular velocity of the particle after $2 \, s$ from its start is ......... $rad/s$.

AIIMS 1998 All AIIMS

A
$8$
B
$12$
C
$24$
D
$36$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Chemistry Questions

Chapter

Data Entry - Chemistry

Subtopic

Level 0 of all question bank

Previous Year

AIIMS 1998 Paper All AIIMS years →

Which of the following reagents will convert glycerol into acrolein?

View Solution

The radiation emitted by a star $A$ is $10000$ times that of the sun. If the surface temperatures of the sun and the star $A$ are $6000 \ K$ and $2000 \ K$ respectively,the ratio of the radii of the star $A$ and the sun is : (in $: 1$)

AP EAMCET 2003

View Solution

Which of the following is the most stable?

View Solution

The angle between the pair of straight lines formed by joining the points of intersection of $x^2+y^2=4$ and $y=3x+c$ to the origin is a right angle. Then $c^2$ is equal to

AP EAMCET 2007

View Solution

Using the digits $0, 2, 4, 6, 8$ not more than once in any number,the number of $5$-digit numbers that can be formed is:

AP EAMCET 2001

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

If the equation for the angular displacement of a particle moving on a circular path is given by $\theta(t) = 2t^3 + 0.5$,where $\theta$ is in radians and $t$ is in seconds,then the angular velocity of the particle after $2 \, s$ from its start is ......... $rad/s$.

Similar Questions

Which of the following reagents will convert glycerol into acrolein?

The radiation emitted by a star $A$ is $10000$ times that of the sun. If the surface temperatures of the sun and the star $A$ are $6000 \ K$ and $2000 \ K$ respectively,the ratio of the radii of the star $A$ and the sun is : (in $: 1$)

Which of the following is the most stable?

The angle between the pair of straight lines formed by joining the points of intersection of $x^2+y^2=4$ and $y=3x+c$ to the origin is a right angle. Then $c^2$ is equal to

Using the digits $0, 2, 4, 6, 8$ not more than once in any number,the number of $5$-digit numbers that can be formed is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module