Find moment of inertia for a door

Click For Summary
SUMMARY

The moment of inertia for a uniform, thin solid door with a height of 2.20 m, width of 0.870 m, and mass of 23.0 kg, calculated for rotation about its hinges, is determined using the formula I = (1/3) * m * h², resulting in a value of 66.67 kg·m². Additionally, for a uniform solid disk grinding wheel with a radius of 7.00 cm and mass of 2 kg, the time to reach an operating speed of 1200 rev/min under a constant torque of 0.6000 N·m is calculated using angular kinematics, yielding approximately 10.0 seconds, with the wheel completing about 20 revolutions during this acceleration phase.

PREREQUISITES
  • Understanding of moment of inertia calculations
  • Familiarity with angular motion equations
  • Knowledge of torque and its effects on rotational motion
  • Basic principles of rotational dynamics
NEXT STEPS
  • Study the derivation of the moment of inertia for various shapes
  • Learn about angular kinematics and the equations of motion for rotating bodies
  • Explore the relationship between torque, angular acceleration, and moment of inertia
  • Investigate real-world applications of rotational dynamics in engineering
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding rotational dynamics and moment of inertia calculations.

XodoX
Messages
195
Reaction score
0
1. A uniform, thin solid door has a height 2.20 m, width 0.870m, and mass of 23.0 kg. Find its moment of inertia for rotation on its hinges. Is any piece of data unneccessary?

2. A grinding wheel is in the form of a uniform solid disk of radius 7.00 cm and mass of 2 Kg. It starts from rest and accelerates uniformly under the action of the constant of torque of 0.6000 NxM that the motor exerts on the wheel.
How long does it take for the wheel to reach its final operating speed of 1200 rev/min ? Through how many revolutions does it turn while accelerating?





Would appreciate any help! Seems easy, but I can't figure it out..like the equation I need to use :confused:
 
Physics news on Phys.org


Looks like you need to start with what the definition is for the moment of inertia.
 

Similar threads

Replies
8
Views
14K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
8K
Replies
6
Views
5K
  • · Replies 27 ·
Replies
27
Views
6K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 4 ·
Replies
4
Views
11K
Replies
33
Views
12K