Question

23
What will be the radius of gyration of a
circular plate of diameter 20 cm?
A) 1.5 cm
B) 2.0 cm
C) 5 cm
D) 3 cm​

Answer 1

Answer:

5cm

Explanation:

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Answer 2

The radius of gyration of a circular plate of diameter 20 cm will be 5 cm.

Given:

The diameter of the circular plate = 20 cm

The radius of the circular plate  = 10 cm

Now to find the radius of gyration of the circular plate we will first find the Moment of inertia of the plate.

I = $\frac{\pi D^4}{64}$

I = 7853.98 $cm^4$

Now we will find the area of the circular plate

Area = $\pi r^{2}$

Area = 314.15 cm²

Now we will use the formula

The radius of gyration  = $(\frac{I}{A})^{1/2}$

The radius of gyration =  5 cm

Therefore the radius of gyration of the circular plate will be 5 cm.