GATE ME 2014 Set 3 — Question 48
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Theory of Machines & Vibrations → Mechanisms & Linkages → Four-Bar & Slider-Crank
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Question
A slider-crank mechanism with crank radius 60 mm and connecting rod length 240 mm is shown in figure. The crank is rotating with a uniform angular speed of 10 rad/s, counter clockwise. For the given configuration, the speed (in m/s) of the slider is _______
Correct answer
0.54 to 0.68
Solution
Given:
Crank radius, mm = 0.06 m
Connecting rod length, mm = 0.24 m
Angular speed, rad/sStep 1: Identify the configuration from the figure.
The crank is at a angle to the line of stroke ().Step 2: Use the formula for the velocity of the slider ().
, where Step 3: Substitute the values.
At , and .
m/sThus, the speed of the slider is 0.6 m/s.
Crank radius, mm = 0.06 m
Connecting rod length, mm = 0.24 m
Angular speed, rad/sStep 1: Identify the configuration from the figure.
The crank is at a angle to the line of stroke ().Step 2: Use the formula for the velocity of the slider ().
, where Step 3: Substitute the values.
At , and .
m/sThus, the speed of the slider is 0.6 m/s.
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