Q#2 A drill bit on a vertical speed drill has aconstant angular acceleration of
ID: 1674745 • Letter: Q
Question
Q#2 A drill bit on a vertical speed drill has aconstant angular acceleration of 2.50rad/s2. The drill has aninitialangular speed of 5.00 rad/s. (a) After 4.00 s, what will theangular displacementof the bit be? (b) what will the drill bitsfinal speed be? Given that the drill bit has a moment ofinertia of 0.700kg.m2 (c) what is the net torque exerted by thisdrill? (d) what is the rotational kinetic energy of the drill atits final angular speed? (e) if the drill bit break off whilerotating at an angular speed of 5.00 rad/s and the bits remainingportion has half the inertia of the whole bit, with what angularspeed will the bit rotate?( Assume that there are nonon-conservative force acting.) Q#2 A drill bit on a vertical speed drill has aconstant angular acceleration of 2.50rad/s2. The drill has aninitialangular speed of 5.00 rad/s. (a) After 4.00 s, what will theangular displacementof the bit be? (b) what will the drill bitsfinal speed be? Given that the drill bit has a moment ofinertia of 0.700kg.m2 (c) what is the net torque exerted by thisdrill? (d) what is the rotational kinetic energy of the drill atits final angular speed? (e) if the drill bit break off whilerotating at an angular speed of 5.00 rad/s and the bits remainingportion has half the inertia of the whole bit, with what angularspeed will the bit rotate?( Assume that there are nonon-conservative force acting.)Explanation / Answer
=2.5 rad/s2i=5 rad/s t=4s a)=i*t+0.5*t2 =5*4+0.5*2.5*16 =40 radians b) f=i+t =5+10 =15rad/s c)=I =0.7*2.5 =1.75Nm d)KE=1/2I2 =0.5*0.7*152 =78.75J e)I11=I22 0.7*5=0.35*2 2=10 rad/s
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