the question is...
(π=pi)
a bicycle wheel of diameter 26 inches is rolled through an angle of 4π radians. How far has the wheel moved along the ground?
2007-08-08 07:06:32 · 4 answers · asked by xfallingxstarx90 1 in Science & Mathematics ➔ Mathematics
Since π rad = 180° and you have 4π, that means it did 2 full revolutions.
The Diameter (d) is 26 in. and the circunference (P) is equal to
P=πd
P=26π
So the wheel rolled a total of 52π in. or 163.362784 in.
2007-08-08 07:10:17 · answer #1 · answered by ΛLΞX Q 5 · 0⤊ 0⤋
The length of an arc is the angle in radians*the radius. = 13*4Ï = 52Ï. This is the distance moved. 4Ï radians is equal to two rotations.
2007-08-08 14:11:40 · answer #2 · answered by Edgar Greenberg 5 · 0⤊ 0⤋
it has moved 4pie radians means 2 rotations.
so distance moved = 2*circumference of the wheel=2*3.14*26=163.28 inches
2007-08-08 14:12:45 · answer #3 · answered by renjth k 1 · 0⤊ 0⤋
52 inches
2007-08-08 14:09:50 · answer #4 · answered by csmithballsout 4 · 0⤊ 1⤋