Asked by Natasha
Some bacteria are propelled by biological motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.70e-8 m, and a tangential speed at the rim of 2.32 e-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?
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?
Answers
Answered by
Henry
r = 1.70*e^-8 = 5.70*10^-4 m.
C=pi*D=3.14*(2*5.70*10^-4)=3.58*!0^-3 m
a. V = 2.32*e^-5 = 0.01563 m/s.
Va = 0.01563m/s * 6.28Rad/0.00358m = 27.4 Rad/s = Angular velocity.
b. d = Va*t.
t = d/Va = 6.28Rad / 27.4Rad/s=0.229 s.
C=pi*D=3.14*(2*5.70*10^-4)=3.58*!0^-3 m
a. V = 2.32*e^-5 = 0.01563 m/s.
Va = 0.01563m/s * 6.28Rad/0.00358m = 27.4 Rad/s = Angular velocity.
b. d = Va*t.
t = d/Va = 6.28Rad / 27.4Rad/s=0.229 s.