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A dentist\'s drill accelerates from rest at 640 r a d / s 2 for 2.00 s and then

ID: 2260030 • Letter: A

Question

A dentist's drill accelerates from rest at 640rad/s2for 2.00s and then runs at constant angular velocity for 6.65s . Through how many total revolutions has the drill turned?


In the figure, the meterstick's mass is 0.165kg and the string tension is 2.60N .


Find the unknown mass m.      Find the upward force the fulcrum exerts on the stick.  

A dentist's drill accelerates from rest at 640rad/s2for 2.00s and then runs at constant angular velocity for 6.65s . Through how many total revolutions has the drill turned? In the figure, the meterstick's mass is 0.165kg and the string tension is 2.60N . Find the unknown mass m. Find the upward force the fulcrum exerts on the stick.

Explanation / Answer

theta=1/2*640*2^2


=1280 radians


w after 2 second


w=w0+alpha*t


=640*2


=1280 rad/s


so theat1=1280*6.65


=8512 radians


So total angular displacement=8512+1280


=9792 radian


=1558.44 revolutions


b.)from above figure now from moment balance we have


0.165*9.81*0.3=2.6*x


x=0.187 m ans

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