W
Wisdom
Guest
...feet? D=32in
How do I go about solving this
How do I go about solving this
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A bicycle wheel makes five revolutions. Determine how far the the bicycle travels in...
M
mike
Guest
Take the diameter, which you say is 32, multiply it by pi, which is about 3.141, you get 100.512 inches. That is how far it goes in one revolution, or the circumference. Multiply by 5, you get 502.56 inches in 5 revolutions. To get feet, divide 502.56 by 12, for 41.88 ft.
Brownetown
New member
it traveled 5 times the circumference of the circle. So find the circumference and multiply by 5
T
The Wolf
Guest
D = 32in = 32/12 ft = 8/3 ft
The circumference of the wheel is C = πD
so
distance = 5C = 5πD = 5π*8/3 = 40π/3 = 41.9 ft
,.,
The circumference of the wheel is C = πD
so
distance = 5C = 5πD = 5π*8/3 = 40π/3 = 41.9 ft
,.,
distance = linear velocity x time
linear speed = radius x angular velocity
angular velocity = 5 rev/sec = 5 x 2Pi rad/sec = 10 Pi rad/sec
linear speed = 16 in x 1/12 ft/in x 10 Pi rad/sec = 40/3 Pi ft/sec
Now multiply this by time (in seconds) to get the travel distance.
Note: Pi ~ 3.1416
linear speed = radius x angular velocity
angular velocity = 5 rev/sec = 5 x 2Pi rad/sec = 10 Pi rad/sec
linear speed = 16 in x 1/12 ft/in x 10 Pi rad/sec = 40/3 Pi ft/sec
Now multiply this by time (in seconds) to get the travel distance.
Note: Pi ~ 3.1416