SSC JE Mechanical Engineering 2017 Set 3 Paper

Question : 132 of 200

Marks: +1, -0

At a point on a streamline, the velocity is 3 m/sec and the radius of curvature is 9 m. If the rate of increase of velocity along the streamline at this point is

1/3

m sec/m, then the total acceleration at this point would be ____.

1 m/ $\sec^2$
3 m/ $\sec^2$
$1/3$ m/ $\sec^2$
$√2$ m/ $\sec^2$

Validate

Solution:

v = 3 m/s
r = 9 m

a_r=v^2/r=3^2/9=1m\/s^2

R=√{a_r^2+a_t^2}

=√{1+1}=√2m\/s^2

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