How Much Distance Does a Wheel Cover in One Second?

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To determine how far a wheel covers in one second, the circumference formula (C = π . d) is used, with a diameter of 5 cm resulting in a circumference of approximately 15.7 cm. The discussion clarifies that to find the speed in cm/sec, the circumference should be divided by the time for one rotation. The correct calculation yields a speed of about 0.26178 cm/sec when the circumference is divided by 60 seconds. Participants confirm that the units are indeed distance over time, reinforcing the importance of proper unit interpretation. The final answer for the wheel's rotation speed is established as approximately 0.26718 cm/sec.
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Homework Statement


i know Circumference is C = pi . d
if i have a wheel that need to be rotate in given time, how much centimeter i need to rotate in 1 sec?..

Homework Equations


if i have this :
Diameter = 5cm
Circumference = 15.7cm
Given time = 60sec

The Attempt at a Solution


and i got the calculation..dunno if this right/wrong..thats y i need ur help guys..=.='

Given_Times / Circumference

Answer : 3.8217 cm / sec

*/ sorry for my bad english /*
 
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Don't you want circumference/time?
 
No, he doesn't because that would have units of "time/distance". He asked "how much centimeter i need to rotate in 1 sec?" which has units of "distance/time": cm/sec.

Soharu: Yes, the circumference, in cm., divided by the time, in seconds, of one rotation will give you the speed, at the circumference, in cm/sec.
 
HallsofIvy said:
No, he doesn't because that would have units of "time/distance". He asked "how much centimeter i need to rotate in 1 sec?" which has units of "distance/time": cm/sec.

Soharu: Yes, the circumference, in cm., divided by the time, in seconds, of one rotation will give you the speed, at the circumference, in cm/sec.

Why do you say "circumference/time" would have units of "time/distance"?
 
if its circumference over time then its 15.707/60 which gives .26178 cm/sec.
 
Jmanww said:
if its circumference over time then its 15.707/60 which gives .26178 cm/sec.

thanx guys..now i got the result...my bad..my bad..it's cm/sec.
so the answer i got is same with the quote above..15.7/60 =
0.26718 cm/sec
 
Dick said:
Why do you say "circumference/time" would have units of "time/distance"?

Because I just plain misread what you wrote, of course!
 

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