F/14.6 – Physics Help Please! ****Tough Question**** Air-track glider and spring oscillations?

Question

An air-track glider attached to a spring oscillates between the 13.0cm mark and the 59.0cm mark on the track. The glider completes 11.0 oscillations in 33.0s.

What are the:

A) Period? T= ???s

B) Frequency? f= ???Hz

C) Amplitude? A= ???cm

D) Maximum speed of the glider? v(max)= ???cm/s

Answer 1

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A) T =(33.0s) / (11.0 oscillations) =3s;

B) f= 1/T = (1/3) Hz;

C) A=(59cm – 13cm) /2 =23cm;

D) position x=A*sin(2pi*f*t), speed v=x’= A*2pi*f*cos(2pi*f*t);

Max v=A*2pi*f =23*2pi*(1/3) =48.17cm/s;