Question

On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to a maximum rotational speed of 1.4 rad/s. What is the tangential acceleration of the passengers during the first 21 s of the ride?

Answer 1

Answer:

$10.5 m/sec^{2}$

Explanation:

Rate of change of tangential velocity is called tangential acceleration.

it formula is;

$at_{} = \alpha r$

where;

$at_{}$ = tangential acceleration

$\alpha$ = angular acceleration (given as 1.4 rad/s)

$r$= radius of circle  (given as 7.5 m)

Putting values in formula above;

$at_{} = 1.4 * 7.5 = 10.5 m/sec^{2}$

So, the tangential acceleration is 10.5 m/sec2