Question

car rounds a 75 m radius curve at a constant speed of 18 m/s. A ball is suspended by a string from the ceiling of the car. What is the angle between the string and the vertical?

Answer 1

Angle between the string and vertical will be equal to 76.96°

Step-by-step explanation:

We have given radius r = 75 m

Velocity at the curve v = 18 m/sec

Acceleration due to gravity
`g=9.8m/sec^2`

We have to find the angle between string and vertical

Angle formed at the curve road during motion is equal to
`tan\Theta =(v^2)/(rg)`

So
`tan\Theta =(18^2)/(75)`

`tan\Theta =4.32`

`\Theta =tan^(-1)4.32`

`\Theta =76.96^(\circ)`

So angle between the string and vertical will be equal to 76.96°