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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?

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pmdislamabad

Answer:

[tex]10.5 m/sec^{2}[/tex]

Explanation:

Rate of change of tangential velocity is called tangential acceleration.

it formula is;

[tex]at_{} = \alpha r[/tex]

where;

[tex]at_{}[/tex] = tangential acceleration

[tex]\alpha[/tex] = angular acceleration (given as 1.4 rad/s)

[tex]r[/tex]= radius of circle  (given as 7.5 m)

Putting values in formula above;

[tex]at_{} = 1.4 * 7.5 = 10.5 m/sec^{2}[/tex]

So, the tangential acceleration is 10.5 m/sec2

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