An ocean linear 250 m long has a maximum speed of 15m/sec. The speed of a model 10m long, to simulate the wave resistance should bea)15 m/sb)3 m/sc)5 m/sd)0.5 m/sCorrect answer is option 'B'. Can you explain this answer?

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Answer

To simulate wave resistance, the speed of the model ocean liner should be determined based on the concept of geometric similarity. Geometric similarity states that the ratio of corresponding linear dimensions (such as length, width, and height) of two similar objects should be equal. In this case, we have an ocean liner that is 250m long and a model that is 10m long.

According to geometric similarity, we can set up the following equation to find the speed of the model ocean liner (v_model):

(v_ocean liner) / (v_model) = (L_ocean liner) / (L_model)

where v_ocean liner is the maximum speed of the ocean liner (given as 15m/s), L_ocean liner is the length of the ocean liner (given as 250m), and L_model is the length of the model (given as 10m).

Substituting the given values into the equation, we have:

15 / v_model = 250 / 10

Simplifying the equation, we get:

15 / v_model = 25

Cross multiplying, we get:

v_model = (15 * 10) / 250

v_model = 150 / 250

v_model = 0.6 m/s

Therefore, the speed of the model ocean liner should be 0.6 m/s to simulate the wave resistance.

Since the answer options provided are in m/s, we need to select the closest option to 0.6 m/s, which is option 'B' - 0.5 m/s.

Therefore, the correct answer is option 'B' - 0.5 m/s.

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