Medals shall be rewarded. Thanks for the help
(Trigonometry question)

An automobile travels at 100km/h.

a) Find the angular velocity of a tire with radius 36cm.

b) Through what angle will the tire turn in 30s at this speed?

Question

Medals shall be rewarded. Thanks for the help
(Trigonometry question)

An automobile travels at 100km/h.

a) Find the angular velocity of a tire with radius 36cm.

b) Through what angle will the tire turn in 30s at this speed?

anonymous · Answer

100km/h =100,000m/h =1,000/36m/s=27.8m/s

assuming the tires are spinning without slipping, omega*R=v implies that 27.8/R=omega (omega is angular velocity)

anonymous · Answer

with zero acceleration theta=omega(t) where theta is the angle described and t is in seconds

anonymous · Answer

(thats omega*t not omega as a function of t)

anonymous · Answer

According to the book I have, the answer is 77.16

anonymous · Answer

what units is that in, and is that the answer to a or b

anonymous · Answer

watch out, your radius is given in centimeters but the equations require it to be in meters. (these physics questions do that a lot). The equations i wrote above should look familiar.