A wheel is at rest. Its angular velocity increases uniformly and becomes 60 rad/

Question

A wheel is at rest. Its angular velocity increases uniformly and becomes 60 rad/sec after 5 sec. The total angular displacement is

Options:

A . 600 rad

B . 75 rad

C . 300 rad

D . 150 rad

Answer: Option D
:
D
Angular acceleration

α = \frac{ω_{2} - ω_{1}}{t} = \frac{60 - 0}{5} = 12 r a d / s e c^{2}

Now from

θ = ω_{1} t + \frac{1}{2} α t^{2} = 0 + \frac{1}{2} (12) (5)^{2} = 150 r a d .

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. The moment of inertia of a solid sphere of density ρ and radius R about its diameter is....

Question 2. As a part of a maintenance inspection the compressor of a jet engine is made to spin according to the graph as shown. Th....of revolutions made by the compressor during the test is

Question 3. A circular disc X of radius 'R' is made from an iron plate of thickness 't', and another disc Y of r....relation between the moment of inertia Ix and Iy is

Question 4. Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to....passing through a point on its rim will be

Question 5. Three rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about Y....moment of inertia of the system about YY' will be

Question 6. The the system in the figure is in equilibrium. The value of PR in terms of RQ is equal to ....

Question 7. The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and pe....moments of inertia of the plates about axes 1,2,3,4 respectively.

Question 8. Two circular discs A and B are of equal masses and thickness but made of metals with densities dA and dB(dA>....normal to the circular faces be IA and IB, then

Question 9. A force of (2ˆi−4ˆj+2ˆk)N acts at a point (3ˆi+2ˆj−4ˆk) metre fro....point (3ˆi+2ˆj−4ˆk) metre from the origin. The magnitude of torque is

Question 10. Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of in....centre of the disc and perpendicular to its plane is

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0