Rotation rate of hour hand on clock?

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Homework Help Overview

The discussion revolves around determining the rotation rate of the hour hand on a clock, specifically in terms of revolutions per minute. Participants are exploring the relationship between time and rotation in the context of a clock's mechanics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to calculate the rotation rate by considering the total minutes in 12 hours and how that relates to revolutions per minute. Questions are raised about the significance of the numbers 12 and 24 in the context of the problem.

Discussion Status

Some participants have provided insights into the calculation process, including the total number of minutes in 12 hours and the method of inverting values to find revolutions per minute. There is an ongoing exploration of the validity of the answer choices presented, with some participants expressing uncertainty about disproving incorrect options.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available for discussion. There is a focus on understanding the reasoning behind the choices rather than arriving at a definitive answer.

BioGuy
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What is the rotation rate in revolutions per minute of the hour hand of a clock?

a.) 1/(12x60)
b.) 1/24
c.) 1/(24x60)
d.) none of these

I am not too sure how to answer this, i want to say its (a.) because it makes the most sense... ??any suggestions??
 
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How many minutes are there in 12hours (the time it takes to go around the clock?)
If you have N minutes/revolution - how do you get to revolutions/minute?

hint - if you are going 10miles/hour, what fraction of an hour does it take to go 1 mile
 
there are 720 minutes in 12 hours..

you invert(recipricol) of xmin/rev to get revolutions/min

im still a little lost... :-/ how can we disprove some choices?
 
one of the key differences in your choices are the numbers 12 and 24. What do they represent, and which one is relevant in the case of a full rotation of the hour hand?
 
BioGuy said:
there are 720 minutes in 12 hours..
you invert(recipricol) of xmin/rev to get revolutions/min
Exactly so the answer is 1/(12*60) = 1/720 as you said.
You don't need to disprove the others - they are just wrong!
 

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