A child is riding a tricycle along a straight horizontal road. The pedals are attached directly to the front wheel, which has a radius of 15 cm. The rear wheels are smaller and have a radius of 8 cm. There is no slip between the wheels and the road surface. If the child is pedaling at 16 rpm (revolutions per minute), then the angular speed of the rear wheels is closest to:

Angular speed of rear wheel = 3.1425 rad/s

Explanation:

N1 = 16 rpm

w1 angular speed of big wheel = 2¶N/60 = (2 x 3.142 x 16)/60 = 1.676 rad/s

R1 = radius of big wheel = 15 cm = 15x10^-2 = 0.15 m

R2 = radius of small wheel = 8 cm = 0.08 m

w2 =?

Using w1R1 = w2R2

1.676 x 0.15 = w2 x 0.08

0.2514 = 0.08w2

w2 = 0.2514/0.08 = 3.1425 rad/s

scientific laws are the result of testing theories and proving them to be facts.

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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