Home
Class 11
PHYSICS
A wheel rotates with a constant accelera...

A wheel rotates with a constant acceleration of `2.0(rad)/s^2`. If the wheel starts from rest, how many revolutions will it make in the first 10 seconds?

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Identify the given values - Angular acceleration (\( \alpha \)) = \( 2.0 \, \text{rad/s}^2 \) - Initial angular velocity (\( \omega_0 \)) = \( 0 \, \text{rad/s} \) (since the wheel starts from rest) - Time (\( t \)) = \( 10 \, \text{s} \) ### Step 2: Use the angular displacement formula ...
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    HC VERMA ENGLISH|Exercise Objective -1|26 Videos
  • ROTATIONAL MECHANICS

    HC VERMA ENGLISH|Exercise Objective -2|14 Videos
  • ROTATIONAL MECHANICS

    HC VERMA ENGLISH|Exercise Questions for short Answer|21 Videos
  • REST AND MOTION : KINEMATICS

    HC VERMA ENGLISH|Exercise Question for short Answer|13 Videos
  • SIMPLE HARMONIC MOTION

    HC VERMA ENGLISH|Exercise Question for short Answer|15 Videos

Similar Questions

Explore conceptually related problems

A wheel rotates with a constant acceleration of 2.0rad/s^2 . If the wheel starts from rest, how many revolutions will it make in the first 10 seconds?

The wheel of a motor rotates with a constant acceleration of 4" rad s"^(-1) . If the wheel starts form rest, how many revolutions will it make in the first 20 second?

If a wheel is spinning at 1200 revoluations per minutes, how many revoluation will it make in t second?

The diameter of a cycle wheel is 28 cm. How many revolutions will it make in moving 13.2 km?

The diameter of a wheel is 84 cm. How many revolution will it make to cover 792 m ?

The diameter of the wheel of a car is 77 cm. How many revolutions will it make to travel 121 km?

The diameter of a wheel is 84 cm. How many revolution will it make to cover 792 m ?

The diameter of a wheel of a car is 98 cm. How many revolutions will it make to travel 6160 metres.

A wheel starts rotating with an-angular velocity of 2 rad/s. If it rotates with a constant angular acceleration 4 "rad/s"^2 what angle does the wheel rotate through in 2.0 s ? What is the angular speed, after 2.0 s.

A stationary wheel starts rotating about its own axis at constant angular acceleration. If the wheel completes 50 rotations in first 2 seconds, then the number of rotations made by itin next two seconds is

HC VERMA ENGLISH-ROTATIONAL MECHANICS-worked out Examples
  1. A wheel rotates with a constant acceleration of 2.0(rad)/s^2. If the w...

    Text Solution

    |

  2. The wheel of a motor, accelerated uniformly from rest, rotates through...

    Text Solution

    |

  3. A wheel having moment of inertia 2 kg m^2 about its axis, rotates at 5...

    Text Solution

    |

  4. A string is wrapped around the rim of a wheel of moment of inertia 0.2...

    Text Solution

    |

  5. A wheel of radius r and moment of inertia I about its axis is fixed at...

    Text Solution

    |

  6. The pulley shown in figure has a moment of inertia I about it's axis a...

    Text Solution

    |

  7. Two small kids weighing 10 kg and 15 kg respectively are trying to bal...

    Text Solution

    |

  8. A uniform ladder of mass 10 kg leans against a smooth vertical wall ma...

    Text Solution

    |

  9. The ladder shown in figure has negligible mass and rests on a friction...

    Text Solution

    |

  10. Two small balls A and B each of mass m, are attached tightly to the en...

    Text Solution

    |

  11. Two particles of mass m each are attached to a light rod of length d, ...

    Text Solution

    |

  12. A particle is projected at time t=0 from a point P wilth a speed v0 at...

    Text Solution

    |

  13. A uniform circular disc of mass 200 g and radius 4.0 cm is rotated abo...

    Text Solution

    |

  14. A wheel rotating at an angular speed of 20 rad/s is brought to rest by...

    Text Solution

    |

  15. Two masses m and M(m lt M) are joined by a light string passing over a...

    Text Solution

    |

  16. Figure shows a mass m placed on a frictionless horizontal table and at...

    Text Solution

    |

  17. A uniform rod of mas m and length l is kept vertical with the lower en...

    Text Solution

    |

  18. Four particles each of mass 'm' are kept at the four corners of a squa...

    Text Solution

    |

  19. Two identical spheres each of mass 1.20 kg and radius 10.0 cm are fixe...

    Text Solution

    |

  20. Two uniform identicla rods each of mass M and length l are joined to f...

    Text Solution

    |