The point moves from the state of rest and during the time t = 20 s its speed increases to v = 24 m / s.

| February 4, 2021 | education

The point moves from the state of rest and during the time t = 20 s its speed increases to v = 24 m / s. Determine the path traversed by the point and its full acceleration at the end of 20 s, considering the movement to be uniformly accelerated along an arc of a circle with a radius of r = 600 m.

Task data: Vн (initial speed) = 0 m / s; t (duration of movement) = 20 s; Vk (final speed) = 24 m / s; r (radius of a circle) = 600 m.

1) The path covered by the point: S = Vк * t / 2 = 24 * 20/2 = 240 m.

2) Full acceleration at the end of 20 seconds: a = √ (at ^ 2 + ac ^ 2) = √ ((Vk / t) ^ 2 + (Vk ^ 2 / R) ^ 2) = √ ((24/20) ^ 2 + (24 ^ 2/600) ^ 2) = 1.54 m / s2.

Answer: After 20 seconds, the set point will travel 240 m and will have a full acceleration of 1.54 m / s2.



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