Answer:
Angle between the string and vertical will be equal to 76.96°
Explanation:
We have given radius r = 75 m
Velocity at the curve v = 18 m/sec
Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]
We have to find the angle between string and vertical
Angle formed at the curve road during motion is equal to [tex]tan\Theta =\frac{v^2}{rg}[/tex]
So [tex]tan\Theta =\frac{18^2}{75}[/tex]
[tex]tan\Theta =4.32[/tex]
[tex]\Theta =tan^{-1}4.32[/tex]
[tex]\Theta =76.96^{\circ}[/tex]
So angle between the string and vertical will be equal to 76.96°
