An electric drill starts from rest and undergoes uniform angular acceleration for a period of 0.145 s until it turns at a rate of 2.85 ✕ 10^4 revs/min.
(a) what is the drill's angular acceleration (in rad/s^2)?
(b) what is the angle (in radians) through which the drill rotates during this period?

Answer

given,

time period, t = 0.145 s

angular velocity, ω = 2.85 x 10⁴ rev/ min

using rotational motion equation

Since it starts from rest ,initial angular velocity ωo=0

final angular velocity

α = 15,527 rad/s²

b)

again using equation of rotational motion

    θ = 163.23 rad

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

total distance/total time

(85 + 82)/(5+3)

167/8

20 just over