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## The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s2. At an instant when the magnitude of t

Question

The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s2. At an instant when the magnitude of the total acceleration is 6.0 m/s2, what is the speed of the particle? Group of answer choices

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Physics
3 years
2021-08-13T18:08:39+00:00
2021-08-13T18:08:39+00:00 1 Answers
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## Answers ( )

Answer:The speed of the particle is

2.86 m/sExplanation:Given;

radius of the circular path, r = 2.0 m

tangential acceleration, = 4.4 m/s²

total magnitude of the acceleration, a = 6.0 m/s²

Total acceleration is the vector sum of tangential acceleration and radial acceleration

where;

is the radial acceleration

The radial acceleration relates to speed of particle in the following equations;

where;

v is the speed of the particle

Therefore, the speed of the particle is

2.86 m/s