Find the area of a square inscribed in a circle of radius 8 cm.

Options

A. `5.7 m//s`
B. `6.2 m//s`
C. `5.0 m//s`
D. `5.7m//s`

Answer

A

Explanation

From the figure centrification acceleration,
`(a_(c))/(a) = cos 30 ^(@)`
`therefore a _(c) = a cos 30 ^(@)`
`therefore a _(c) = 15 xx (sqrt3)/(2)`
Now, centrification acceleration,
` a _(c) = (v^(2))/(R )`
`therefore v ^(12) = a _(c) R `
`= 15 xx (sqrt3)/(2) xx2.5`
`v ^(2) = 32.475`
`therefore v = 5.69868m//s`
`therefore v ~~5.7 m//s`