Rank the following in order of decreasing angular speed: an automobile tire rotating at 2.00*103deg/s, an electric drill rotating at 400.0 rev/min, and an airplane propeller rotating at 40.0 rad/s.

electric drill > airplane propeller > tire

Explanation:

for tire

ω = 2 x 10^3 degree / s

as 1 degree = 0.0175 radian

So, ω = 2 x 10^3 x 0.0175 rad/s = 35 rad/s

Electric drill

ω = 400 rev/min = 400 / 60 rps = 6.67 rps

ω = 2 x 3.14 x 6.67 = 41.88 rad/s

Airplane propeller

ω = 40 rad/s

So, the angular speed of electric drill > airplane propeller > tire.