A wheel is subjected to uniform angular acceleration about its axis. Initially i

Question

A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 sec, it rotates through an angle

θ_{1}

. In the next 2 sec, it rotates through an additional angle

θ_{2}

. The ratio of angles is

Options:

A . 1

B . 2

C . 3

D . 5

Answer: Option C
:
C
Using relation

θ

ω_{0}

t +

\frac{1}{2}

α

t^{2}

θ_{1}

\frac{1}{2}

(

α

)

2^{2}

= 2

α

..(i) (As

ω_{0} = 0, t = 2 s e c

)
Now using same question for t = 4 sec ,

ω_{0}

= 0

θ_{1}

θ_{2}

\frac{1}{2}

{(4)}^{2}

= 8

α

..(ii)
From (i) and (ii),

θ_{1}

= 2

α

and

θ_{2}

= 6

α

∴

\frac{θ_{1}}{θ_{2}}

= 3

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. A particle P is moving in a circle of radius 'a' with a uniform speed v . C is the centre of the circle and AB is a diam....P about A and B are in the ratio

Question 2. Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a ....tensions in the three sections of the string is

Question 3. The resultant of →P and →Q is perpendicular to →P. What is the angle between →P and →Q.....

Question 4. A metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces actin....the second diagram. Which of the following statements is wrong

Question 5. The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude o....of vector B. The angle between A and B is

Question 6. The maximum and minimum magnitudes of the resultant of two given vectors are 17 units and 7 units respectively. If these....angles to each other, the magnitude of their resultant is

Question 7. The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resulta....of smaller magnitude, what are the, magnitudes of forces

Question 8. A scooter going due east at 10 ms−1 turns right through an angle of 90∘. If the speed of the scooter ....turn, the change is the velocity of the scooter is

Question 9. The torque of the force →F = (2^i - 3^j + 4^k) N acting at the point →r = (3^i + 2^j + 3^k) m ab....= (3^i + 2^j + 3^k) m about the origin be

Question 10. A stone of mass 1 kg tied to a light inextensible string of length is whirling in a circular path of radius L in a ver....the stone at the highest point of the circle 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

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers