I need help with solving these word problems.

Question

Marion rides her racing bicycle @ speed of 8 m/s. Bicycle wheels have a radius of 34 cm. What is the angular speed of wheels? How many times does each wheel go around during a 10-min race?

A car tire has radius of 33cm. Tire turns a total of 10,250 radians during trip to store. How many meters did car travel?

Answer 1

r = 0.34 m
omega r = 8 m/s
omega = 8/.34 radians/second

10 min = 600 s
600 * 8/.34 = total radians in 10 minutes
divide that by 2 pi radians per revolution

r = 0.33 m
angle in radians * r = distance travelled
10,250 *.33 = answer

Answer 2

tangenial speed=angularspeed*radius
tangential speed is given, as is radius.

for the second, revolutions/2PI=angularspeed*time

Answer 3

Is the answer for the 1st question ...23.5 rad/ sec?

Is the answer for the 2nd question...66 times?

Is the answer for the 3rd question...3382.5 meters?

Answer 4

How do you turn 30 degrees to radians?