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Math Help - [SOLVED] w= θ/t

  1. #1
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    [SOLVED] w= θ/t

    it's..

    w = θ/t
    wt = (θ/t)t
    wt = θ
    wt/w = θ/w
    t = θ/w


    why isn't it...

    w= θ/t
    (w=θ/t) x 1/θ
    w/θ = 1/t
    (w/θ= 1/t) x t
    t x w/θ = 1
    t = 1/ (w/θ)
    that's what i calculated........... can someone tell me what i did wrong?
    i know the top one is right.. i just tried to do it a different way and it just went horribly wrong.
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  2. #2
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    Quote Originally Posted by somanyquestions View Post
    it's..

    w = θ/t
    wt = (θ/t)t
    wt = θ
    wt/w = θ/w
    t = θ/w


    why isn't it...

    w= θ/t
    (w=θ/t) x 1/θ
    w/θ = 1/t
    (w/θ= 1/t) x t
    t x w/θ = 1
    t = 1/ (w/θ)
    that's what i calculated........... can someone tell me what i did wrong?
    Dear somanyquestions,

    You have done nothing wrong.

    t=\frac{\theta}{w}=\frac{1}{\frac{w}{\theta}}

    Since, \frac{1}{\frac{w}{\theta}}=1\div{\frac{w}{\theta}}  =1\times{\frac{\theta}{w}}=\frac{\theta}{w}

    Hope this will help you.
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  3. #3
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    so for this problem..
    θ= 3π/8 radians
    w= π/24 radian per min
    t would be 9 min


    plugging it in each way..

    t = θ/w
    would be 3π/8 x 24/π = 9

    t = 1/ (w/θ)
    would be.. 1/(π/24 x 8/3π) = 1/(1/9) = 9

    holy moly thanks i feel stupid.
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  4. #4
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    Quote Originally Posted by somanyquestions View Post
    so for this problem..
    θ= 3π/8 radians
    w= π/24 radian per min
    t would be 9 min


    plugging it in each way..

    t = θ/w
    would be 3π/8 x 24/π = 9

    t = 1/ (w/θ)
    would be.. 1/(π/24 x 8/3π) = 1/(1/9) = 9

    holy moly thanks i feel stupid.
    Dear somanyquestions,

    I also do feel stupid sometimes.(specially when I get low marks for exams) But you must always be determined to try and try even if you don't succeed.
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