A peg on a turntable moves with a constant tangential speed of 0.69 m/s in a circle of radius 0.30 m. The peg casts a shadow on a wall. Find the following quantities related to the motion of the shadow. What is the period, amplitude, maximum speed, and maximum magnitude of the acceleration?

Respuesta :

The time period is 2.73 s, amplitude  is 0.3 m,  speed is 0.69 m/s, magnitude of acceleration is 1.58 m/s2.

What is amplitude ?

The greatest displacement or distance that a point on a wave or vibrating body can travel in relation to its equilibrium position.

What is speed?

The pace and direction of an object's movement as it moves down a path are referred to as its velocity, as opposed to its speed. Alternatively put, speed is a scalar quantity while velocity is a vector.

let given that

The linear speed is(v) = 0.69 m/s

The radius (r) = 0.30m

a) The time period is(T) =circumference /v = 2πr/v = 2.73 s

b)The amplitude (A) = vT/2π= 0.3 m

c)The maximum speed is vmax= Aw = 2πA/t

= 0.69 m/s

d)The maximum magnitude of acceleration is

(amax)=  Aw²= A (2π/T)²=  1.58 m/s2

Therefore, the time period is 2.73 s, amplitude  is 0.3 m,  speed is 0.69 m/s, magnitude of acceleration is 1.58 m/s2.

Learn more about amplitude from the given link.

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