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Asked Oct 24, 2019
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Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.7 x10-8m, and a tangential speed at the rim of 2.8 x10-5 m/s. (a) What is the angular speed (the magnitude of the angular velocity) of this bacterial motor? (b) How long does it take the motor to make one revolution?

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Expert Answer

Step 1

Consider the angular speed of the bacterial motor be ω0, the angular speed of the rim of the bacterial motor be v, the time elapses by the motor to make one revolution be t, the radius of the rim of the motor be r, and the angular displacement of the bacterial motor be θ.

 

The given values are,

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v 2.8 x 10 m/s r 1.7x108 m/s 2T rad 277 rad 1 rev e=1 rev 1 rev

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Step 2

(a)

 

Write the expression for the relation between the tangential speed and the angula...

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v = ro 2.8x 10 m/s 1.7x10 m/s =1647 rad/s

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