Question

Through what angle does a particle move along a circle of radius 1.5 m when it travels 3.0 m?

A) 2π radians, 114.6 ∘
B) 4π radians, 229.2∘
C) 6π radians, 343.8∘
D) 8π radians, 458.4∘

Answer 1

The angle through which a particle moves along a circle can be calculated using the formula θ = s/r, where θ is the angle, s is the arc length travelled by the particle, and r is the radius of the circle. In this case, the particle travels a distance of 3.0 m along a circle with a radius of 1.5 m, so the angle is 2 radians.

Step-by-step explanation:

The angle through which a particle moves along a circle can be calculated using the formula θ = s/r, where θ is the angle, s is the arc length travelled by the particle, and r is the radius of the circle. In this case, the particle travels a distance of 3.0 m along a circle with a radius of 1.5 m, so the angle is 2 radians.

The angle through which a particle moves along a circle can be calculated using the formula:

θ = s/r

where θ is the angle, s is the arc length travelled by the particle, and r is the radius of the circle.

In this case, the particle travels a distance of 3.0 m along a circle with a radius of 1.5 m, so the angle is:

θ = 3.0/1.5 = 2 radians

Therefore, the particle moves through an angle of 2π radians. The correct answer choice is A) 2π radians, 114.6°.