Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions-it then calculates the distance traveled. If the wheel has a 1.30 m diameter and goes through 300,000 rotations, how many kilometers should the odometer read?

Question

Physics

Jewel Abbott

4 September, 08:08

Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions-it then calculates the distance traveled. If the wheel has a 1.30 m diameter and goes through 300,000 rotations, how many kilometers should the odometer read?

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Gucci · Answer 1

Answer: 1,224.6km

S=r*theta

r=d/2=1.30m/2=.650m

Theta = (2pi/rev) rev

Theta=300,000rev (2pi/rev) = 1,884,000rads

S=0.650m*1,844,000rad=1,224,600m

S=1,224,600m (1km/1000m) = 1,224.6km