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muminat
3 years ago
9

The electric motor of a model train accelerates the train from rest to 0.540 m/s in 27.0 ms. The total mass of the train is 610

g. Find the average power delivered to the train during its acceleration.
Physics
2 answers:
slega [8]3 years ago
6 0

Answer:

3.29 Watts

Explanation:

Given that

Initial velocity, u = 0 m/s

Final velocity, v = 0.54 m/s

Change in time, Δt = 27 ms

Mass of the train, m = 610 g = 0.61 kg

Power of any object is given as

P = Work done / time

P = W / t

Work done in this question, W is

W = 1/2mv²

W = 1/2 * 0.61 * 0.54²

W = 305 * 0.2916

W = 0.0889 kgm²/s²

Plugging this value into the equation we'd stated earlier, we have

P = W / t

P = 0.0889 / 27*10^-3

P = 3.293 Watts

Therefore, the average power delivered to the train during its acceleration is 3.29 Watts

Gnesinka [82]3 years ago
5 0

Answer:

The value  is  P  =3.294 \  W

Explanation:

From the question we are that

     The velocity  v  =  0.540  \  m/s

      The  time taken is  t =  27.0 ms  = 27.0 *10^{-3} \ s

     The  total mass of the train is  m  =  610 \ g  =  0.610 \ kg

Generally the average power delivered is mathematically represented as

     P  =\frac{KE }{t}    

     P  =\frac{  \frac{1}{2}  *  m  *  v^2 }{t}    

=>  P  =\frac{  \frac{1}{2}  *  0.610   *   0.540 ^2 }{ 27.0 *10^{-3}}    

=>  P  =3.294 \  W  

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A solid circular shaft and a tubular shaft, both with the same outer radius of c=co = 0.550 in , are being considered for a part
Norma-Jean [14]

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The power for circular shaft is 7.315 hp and tubular shaft is 6.667 hp

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<u>Polar moment of Inertia</u>

(I_p)s = \frac{\pi(0.55)4}2

      = 0.14374 in 4

<u>Maximum sustainable torque on the solid circular shaft</u>

T_{max} = T_{allow} \frac{I_p}{r}

         =(14 \times 10^3) \times (\frac{0.14374}{0.55})

         = 3658.836 lb.in

         = \frac{3658.836}{12} lb.ft

        = 304.9 lb.ft

<u>Maximum sustainable torque on the tubular shaft</u>

T_{max} = T_{allow}( \frac{Ip}{r})

          = (14 \times10^3) \times ( \frac{0.13101}{0.55})

          = 3334.8 lb.in

          = (\frac{3334.8}{12} ) lb.ft

          = 277.9 lb.ft

<u>Maximum sustainable power in the solid circular shaft</u>

P_{max} = 2 \pi f_T

          = 2\pi(2.1) \times 304.9

          = 4023.061 lb. ft/s

          = (\frac{4023.061}{550}) hp

          = 7.315 hp

<u>Maximum sustainable power in the tubular shaft</u>

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            = 2\pi(2.1) \times 277.9

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            = (\frac{3666.804}{550})hp

            = 6.667 hp

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