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I just started my Physics w/ Calculus class, and already I am completely stumped. Check this problem out:

The period T of a simple pendulum is the amount of time required for it to undergo one comple oscillation. If the length of the pendulum is L and the acceleration of gravity is g, then T=2*pi*L^p*g^q, where p and q are the powers of L and g. Find the powers p and q required for dimensional consistency.

Any help would be appritiated. Thanks.

The mods think it is an attack of their power to post homework questions.

Yeah... good luck with that...

http://forums.jolt.co.uk/showpost.php?p=10365791&postcount=13

I just started my Physics w/ Calculus class, and already I am completely stumped. Check this problem out:

The period T of a simple pendulum is the amount of time required for it to undergo one comple oscillation. If the length of the pendulum is L and the acceleration of gravity is g, then T=2*pi*L^p*g^q, where p and q are the powers of L and g. Find the powers p and q required for dimensional consistency.

Any help would be appritiated. Thanks.

this thread is probably going to close soon as it is homework help, Mods look down on such subjects.

i think you have to isolate one at a time (do two equations) and work it out htat way. just getting it as far down as you can.

-was going to work it out for you, but it has been way too long since last mat class and im too tired

I just started my Physics w/ Calculus class, and already I am completely stumped. Check this problem out:

The period T of a simple pendulum is the amount of time required for it to undergo one comple oscillation. If the length of the pendulum is L and the acceleration of gravity is g, then T=2*pi*L^p*g^q, where p and q are the powers of L and g. Find the powers p and q required for dimensional consistency.

Any help would be appritiated. Thanks.

you just gave me a headache...thanks

always remember...e=mc squared

I just started my Physics w/ Calculus class, and already I am completely stumped. Check this problem out:

The period T of a simple pendulum is the amount of time required for it to undergo one comple oscillation. If the length of the pendulum is L and the acceleration of gravity is g, then T=2*pi*L^p*g^q, where p and q are the powers of L and g. Find the powers p and q required for dimensional consistency.

Any help would be appritiated. Thanks.

I'd guess 1/2 second. But that's just me.

I just started my Physics w/ Calculus class, and already I am completely stumped. Check this problem out:

The period T of a simple pendulum is the amount of time required for it to undergo one comple oscillation. If the length of the pendulum is L and the acceleration of gravity is g, then T=2*pi*L^p*g^q, where p and q are the powers of L and g. Find the powers p and q required for dimensional consistency.

Any help would be appritiated. Thanks.

T has to be in seconds. That's what they mean by dimensional consistency. So since L has no seconds, and g is m/s^2, you know the power of g that gets you what you want. Then just make sure meters cancel.