How Much Distance Does a Wheel Cover in One Second?

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Homework Help Overview

The discussion revolves around calculating the distance a wheel covers in one second based on its circumference and the time taken for a rotation. The problem is situated in the context of basic kinematics and circular motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between circumference, time, and speed, questioning the correct interpretation of units. There are attempts to clarify how to calculate the speed of the wheel based on its circumference and the time for one rotation.

Discussion Status

Participants are actively engaging in clarifying the calculations and units involved. Some have provided calculations based on the given values, while others question the reasoning behind certain interpretations. There is a recognition of the correct units for speed, but no consensus on the final answer has been reached.

Contextual Notes

There is a mention of a specific diameter and circumference for the wheel, as well as a given time for rotation. Participants express uncertainty about their calculations and the implications of their interpretations.

soharu
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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 /*
 
Last edited:
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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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