Question #63144

A person reached the point directly opposite on the other bank of flowing river while swimming at the speed of 5 metre per second at the angle of 120 degree with the flow the speed of flow must be
1

Expert's answer

2016-11-05T11:23:10-0400

Answer on Question #63144, Physics / Mechanics | Relativity

A person reached the point directly opposite on the other bank of flowing river while swimming at the speed of 5 metre per second at the angle of 120 degree with the flow the speed of flow must be

Find: vflow?v_{\text{flow}} - ?

Given:

vperson=5m/s\mathsf{v}_{\text{person}} = 5 \mathsf{m} / \mathsf{s}

θ=120\theta = 120{}^{\circ}

Solution:



Of Figure \Rightarrow sin 30=vflowvperson30{}^{\circ} = \frac{v_{\text{flow}}}{v_{\text{person}}} (1)

Of (1) vflow=vperson×sin30\Rightarrow v_{\text{flow}} = v_{\text{person}} \times \sin 30{}^{\circ} (2)

Of (2) vflow=2.5m/s\Rightarrow v_{\text{flow}} = 2.5 \, \text{m/s}

Answer:

2.5 m/s

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