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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.

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Answer:

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.

shubhamchouhanvrVT

The rank will be given as  electric drill > airplane propeller > tire

What will be the rank for the angular speed for the three tools?

Now for tire

[tex]w=2\times 10^3 \frac{degree}{sec}[/tex]

as we know that  1 degree = 0.0175 radian

So,

[tex]w=2\times 10^3\times0.0175 =35 \ \frac{rad}{sec}[/tex]

For Electric drill

[tex]w=400\frac{rev}{min} = \dfrac{400}{60\ rps} =6.67\ rps[/tex]

[tex]w=2\times3.14\times6.67=41.88 \frac{rad}{sec}[/tex]

For Airplane propeller

[tex]w=40\frac{rad}{sec}[/tex]

Thus by comparing the angular speed of all three ranks will be given as  electric drill > airplane propeller > tire

To know more about the unit of Angular velocity follow

https://brainly.com/question/6860269