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Angular velocity acceleration

  • Thread starter tahyus
  • Start date
  • #1
15
0
1. a solid sphere (I=0.4mr^2) of mass 1.5 kg and radius 15 cm moves down a 35 degrees incline 7m long. Assuming it started from rest, what is its angular velocity in rad/s at the bottom of the incline? a)71.27 b)32.25 c)49.98 d)61.69




3.i tried by plugging in the values and trying to find the angular acceleration so i could use the L=I(angular velocity) equation; but my numbers just dont add up. pls guide me through the process

thnx

ty
 

Answers and Replies

  • #2
203
0
Use the principle of conservation of Energy. The gravitational potential energy is converted into Angular Kinetic Energy.
 
  • #3
The gravitational potential energy is converted into angular KE AND translational KE. Assuming that rolling without slipping happens here, you can use the relation v=rw to solve for the angular velocity.
 
  • #4
15
0
can someone pls provide me with a mathematical representation of the previous replies?

or at least outline the steps that i will need to follow

im a bit confused about all this

thnx

ty
 

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