Asked by Oisin
(i)For the wheel of diameter 10 cm, find its final speed after traversing a distance of 10 m down an incline of 25ยบ. Assume it starts from rest.
I know i have to use the conservation of energy but how?
i don't understand where to start off
I know i have to use the conservation of energy but how?
i don't understand where to start off
Answers
Answered by
bobpursley
loss of GPE= gainoflinearKE+gainrotationalKE
You are going to have to decide if the wheel is a hoop, or a solid disk to find the moment of inertia.
Remember, for each 2PI radians of rotation, the wheel moves linearly 2PIr distance.
if w is the angular speed, then rw is the linear velocity.
g*m*10cos25=1/2 I w^2+1/2 M(rw)^
and once you decide solid wheel or hoop, you fill in for I, and then solve for w.
You are going to have to decide if the wheel is a hoop, or a solid disk to find the moment of inertia.
Remember, for each 2PI radians of rotation, the wheel moves linearly 2PIr distance.
if w is the angular speed, then rw is the linear velocity.
g*m*10cos25=1/2 I w^2+1/2 M(rw)^
and once you decide solid wheel or hoop, you fill in for I, and then solve for w.
Answered by
Oisin
Wow thanks very much
I was usig the wrong formula for loss of PE that's where i went wrong its always helpful to have people to tell you where youve gone wrong
I was usig the wrong formula for loss of PE that's where i went wrong its always helpful to have people to tell you where youve gone wrong
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