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Chapter 1: Q82PP (page 99)

The experiment is designed so that the seeds move no more than 0.20 mm between photographic frames. What minimum frame rate for the high-speed camera is needed to achieve this?

(a) 250 frames/s;

(b) 2500 frames/s;

(c) 25,000 frames/s;

(d) 250,000 frames/s.

Short Answer

Expert verified

The minimum frame rate required is 23000 frames/s which is close to option (c) 25000 frames/s.

Step by step solution

01

Approach

We are given a maximum distance of 0.2 mm, which can travel between frames, and the maximum velocity, which is 4.6 m/s, for which we can determine the minimum frame rate required. A small interval of time dt is considered for which the small instantaneous velocity can be assumed to be constant.

02

Calculation

The minimum frame rate can be found as follows:

dv=dxdt1dt=dvdx=4.6m/s0.20脳10-3m=23000frames/s

The answer is close to option (c) 25000 frames/s.

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