Adentist's drill starts from rest. after 3.00 s of constant angular acceleration it turns at a rate of 2.60 x 104 rev/min (a) find the drill's angular acceleration. rad/s (b) determine the angle (in radians) through which the drill rotates during this period rad

(a)

907.11 rad/s²

(b)

4082 rad

Explanation:

(a)

t = time taken = 3.00 s

w₀ = initial angular velocity of the drill = 0 rad/s

w = final angular velocity of the drill = 26000 rev/min = 26000 = 2721.33 rad/s

α = angular acceleration of the drill

t = time interval = 3.00 s

using the equation

w = w₀ + α t

2721.33 = 0 + α (3)

α = 907.11 rad/s²

(b)

θ = angle

using the equation

θ = w₀ t + (0.5) α t²

θ = (0) (3.00) + (0.5) (907.11) (3.00)²

θ = 4082 rad

What is the fastest time trial for the first quarter checkpoint? 2.02 seconds

What is the slowest time trial for the first quarter checkpoint? 2.15 seconds

What is the range of times measured for this checkpoint? 0.13 seconds