Can someone help me do this? I'm not sure where to insert the numbers nor in which equation.

Question

The tires on your truck have 0.35 m radius. In a straight line, you drive 2600 m. What is the angular displacement of the tire, during this trip? Would the angular displacement be more or less if you put on big mud tires with a radius of .60m

Answer 1

every 2 pi radians or 360 degrees you go one circumference which is 2 pi R meters
2600 = 2 pi R n when n is the number of turns of the wheel
n = 2600 /(2 pi R)

total angle in degrees = 360 n
total angle in radians = 2600/R

bigger tire is bigger R which is less n

Answer 2

circumference = 2 PI*radius

displacementrotations=distane/circumference

displacment angle= rotations*2PI

= distance*2PI/2PIr radians= distance/r radians
2600/.35 radians

Answer 3

Circumference = 2pi*r = 6.28 * 0.35 = 2.2 m.
Disp. = 2600m * 6.28rad/2.2m = 7422 rad.

Circumference = 6.28 * 0.6 = 3.77 m.
Disp. = 2600m * 6.28rad/3.77m = 4331 rad.