Respuesta :

Answer:

95.7 degrees

Explanation:

Lanuel

The angle through which the particle rotate in radians is 1.667 rad.

Given the following data:

  • Radius of circle = 1.50 meter
  • Arc length = 2.50 meters.

To determine the angle through which the particle rotate in radians:

Mathematically, the angular displacement or arc length in circular motion is given by the formula:

[tex]S=r\theta[/tex]

Where:

  • S is the angular displacement or arc length.
  • r is the radius.
  • [tex]\theta[/tex] is the angle measured in radians.

Making [tex]\theta[/tex] the subject of formula, we have:

[tex]\theta=\frac{S}{r}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\theta = \frac{2.50}{1.50} \\\\\theta =1.667 \;rad[/tex]

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