Physics(Please help)
posted by Hannah .
A dentist causes the bit of a highspeed drill to accelerate from an angular speed of 1.44 x 104 rad/s to an angular speed of 5.05 x 104 rad/s. In the process, the bit turns through 1.77 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 8.95 x 104 rad/s, starting from rest?
Do I start by subtracting the two angular speeds?

ω=ωₒ+ε•t,
t= (ωωₒ)/ε……..(1).
Plug (1) in following
φ =ωₒ•t +ε•t²= (ω²ω²ₒ)/2•ε .
ε= (ω²ω²ₒ)/2• φ =(25.52.07) •10^8/2•1.77•10^4 =6,32•10^4 rad/s²
Now,
ω1=ωₒ+ε•t1,
t1 = (ω1ωₒ)/ ε =(8.950) •10^4/ 6,32•10^4 =1.42 s.
Respond to this Question
Similar Questions

Angular acceleration
A flywheel of 480 mm diameter is accelerated with an angular velocity of 0.4 rad/s^2 from rest by an electric motor until it is rotating at 400 revs/minute. Calculate: a) the time of acceleration b) the linear speed of the rim of … 
Physics
A bicycle starts at the origin of a circular track that has a circumference of 126 m and travels at a constant speed a distance s = 38.0 m in a time t = 12s. a)what is the angular displacement (in rad) of the bicycle from its starting … 
Physics
A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate of 2.1 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill … 
Physics
A dentist's drill starts from rest. After 3.30 s of constant angular acceleration it turns at a rate of 2.1x10^4 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill … 
physics
A machine part rotates at an angular speed of 0.38 rad/s; its speed is then increased to 3.46 rad/s using an angular acceleration of 0.61 rad/s2. Find the angle through which the part ro tates before reaching this final speed. Answer … 
Physics
A dentist causes the bit of a highspeed drill to accelerate from an angular speed of 1.20 104 rad/s to an angular speed of 3.14 104 rad/s. In the process, the bit turns through 1.92 104 rad. Assuming a constant angular acceleration, … 
Physics
A dentist causes the bit of a highspeed drill to accelerate from an angular speed of 1.20x10^4 rad/s to an angular speed of 3.14x10^4 rad/s. In the process, the bit turns through 1.92x10^4 rad. Assuming a constant angular acceleration, … 
physics
A dentist's drill starts from rest. After 2.50 s of constant angular acceleration it turns at a rate of 3.0 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill … 
physics
A dentist causes the bit of a highspeed drill to accelerate from an angular speed of 1.50 x 104 rad/s to an angular speed of 3.76 x 104 rad/s. In the process, the bit turns through 3.13 x 104 rad. Assuming a constant angular acceleration, … 
Physics
Your electric drill rotates initially at 5.11 rad/s. You slide the speed control and cause the drill to undergo constant angular acceleration of 0.363 rad/s^2 for 4.13 s. What is the drill's angular displacement during that time interval?