To measure the speed of a current, scientists place a

CheemnCatelvew

CheemnCatelvew

Answered question

2021-08-09

To measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. If the paddle wheel has radius 0.20 m and rotates at 100 rpm, find the speed of the current in m/s.

Answer & Explanation

diskusje5

diskusje5

Skilled2021-08-10Added 82 answers

The linear velocity v and angular velocity w (in radians per unit time) are related by: v=rw

where r is the radius.

First, we convert the angular velocity to rad/s: w=100 rev/min2πr ad/1rev1 min/60s=(10π/3) rad/s

Substitute r=0.20 m and w=(10π/3) rad/s:v=0.20(10π/3)

v ~ 2.1 m/s

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