Some bacteria are propelled by biologicalmotors that spin hair-like flagella. A
ID: 1673684 • Letter: S
Question
Some bacteria are propelled by biologicalmotors that spin hair-like flagella. A typical bacterial motorturning at a constant angular velocity has a radiusof 1.36 x10-8m, and a tangential speed at the rimof 2.21 x 10-5m/s. (a) What is the angular speed (the magnitude ofthe angular velocity) of this bacterial motor?(b) How long does it take the motor to make one revolution?
2
(a) What is the angular speed (the magnitude ofthe angular velocity) of this bacterial motor?
(b) How long does it take the motor to make one revolution?
2
Explanation / Answer
Radius r= 1.36 * 10 ^ -8 m
Tangential speed v = 2.21 * 10 ^ -5 m / s
(a). Angular speed w = v / r
= 1625 rad / s
(b). time taken for one revolution T = 2(pi) / w
= 3.866 * 10 ^ -3 s
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