The material point moves in a circle with a radius of R – 2m s. constant modulo speed, making a full revolution

| June 1, 2021 | education

The material point moves in a circle with a radius of R – 2m s. constant modulo speed, making a full revolution in 4 s. Determine the average travel speed for the first 3 seconds of movement.

R = 2 m.

T = 4 s.

t = 3 s.

Vav -?

1. The average speed of movement Vav is determined by the formula: Vav = L / t, where L is the path traversed by the body during time t.

2. Let’s find the path L traversed by the body in time t according to the formula: L = V * t, where V is the speed of the material point.

3. When moving in a circle for 1 revolution, a material point passes the circumference. The speed of movement V is determined by the formula: V = 2 * п * R / T, where P is the number pi, R is the radius of the circle, T is the time of one complete revolution (rotation period).

Vav = 2 * п * R * t / T * t.

Vav = 2 * 3.14 * 2 m * 3 s / 4 s * 3 s = 3.14 m / s.

Answer: average speed of movement Vav = 3.14 m / s.



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