
The linear and angular acceleration of a particle is 10m/sec2 and 5rad/sec2 respectively. It will be at a distance ______ from the axis of rotation.
A. 50m
B. 21m
C. 1m
D. 2m
Answer
504k+ views
Hint: Use the relation between linear and angular acceleration.
Formula used: $a=r\alpha $
Here
$a$ is the linear acceleration
$r$ is the distance from the axis of rotation or the radius of the trajectory
$\alpha$ is the angular acceleration
Complete step by step solution:
Given
$\begin{align}
& a=10\text{m/}{{\text{s}}^{2}} \\
& \alpha =5\text{rad/}{{\text{s}}^{2}} \\
\end{align}$
Substituting in the formula
$\begin{align}
& a=r\alpha \\
& 10=r\times 5 \\
& r=2\text{m} \\
\end{align}$
The correct answer is option D.
Additional information: There are two types of angular acceleration, spin angular acceleration and orbital angular acceleration. Spin angular acceleration refers to the angular acceleration of a rigid body about its centre of rotation whereas orbital angular acceleration refers to the angular acceleration of a point particle about a fixed origin.
For a rigid body, angular acceleration must be caused by an external torque. In two dimensions it is a pseudoscalar and in three dimensions it is a pseudovector.
Note: Angular acceleration in rotational motion is analogous to linear acceleration in translational motion.
Formula used: $a=r\alpha $
Here
$a$ is the linear acceleration
$r$ is the distance from the axis of rotation or the radius of the trajectory
$\alpha$ is the angular acceleration
Complete step by step solution:
Given
$\begin{align}
& a=10\text{m/}{{\text{s}}^{2}} \\
& \alpha =5\text{rad/}{{\text{s}}^{2}} \\
\end{align}$
Substituting in the formula
$\begin{align}
& a=r\alpha \\
& 10=r\times 5 \\
& r=2\text{m} \\
\end{align}$
The correct answer is option D.
Additional information: There are two types of angular acceleration, spin angular acceleration and orbital angular acceleration. Spin angular acceleration refers to the angular acceleration of a rigid body about its centre of rotation whereas orbital angular acceleration refers to the angular acceleration of a point particle about a fixed origin.
For a rigid body, angular acceleration must be caused by an external torque. In two dimensions it is a pseudoscalar and in three dimensions it is a pseudovector.
Note: Angular acceleration in rotational motion is analogous to linear acceleration in translational motion.
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

What is the difference between superposition and e class 11 physics CBSE

State and prove Bernoullis theorem class 11 physics CBSE

In which part of the body the blood is purified oxygenation class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

State the laws of reflection of light
