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krek1111 [17]
3 years ago
6

How do you calculate acceleration

Physics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer: acceleration is equal to the change in velocity per unit time in seconds.

a= ∆v / t = vf - vi / t

Explanation: change in velocity or ∆v can be expressed as (vf - vi)

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Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

 a_{max} = 0.00246 \  m/s^2

b

   k  =722.2 \ N/m

Explanation:

From the question we are told that

     The  amplitude is A  = 1.8 \ cm  =  0.018 \ m

     The period is T  = 17 \ s

    The test weight is  W =  13 \ N

Generally the radial acceleration is mathematically represented as

        a =  w^2 r

at maximum angular acceleration

       r =  A

So  

       a_{max} =  w^2 A

Now w is the angular velocity which is mathematically represented as

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Therefore

       a_{max} =  [\frac{2 *  \pi}{T} ]^2 * A

substituting values

       a_{max} =  [\frac{2 *  3.142}{17} ]^2 * 0.018

       a_{max} = 0.00246 \  m/s^2

Generally this test weight is mathematically represented as

     W =  k *  A

Where k is the spring constant

Therefore

        k  = \frac{W}{A}

substituting values        

      k  = \frac{13}{0.018}

     k  =722.2 \ N/m

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