Answer to Question #77339 in Mechanics | Relativity for Adi

Question

An air-track glider attached to a spring oscillates between the
10 cm mark and the 60 cm mark on the track. The glider com­pletes 10 oscillations in 33 s. What are the (a) period. (b) frequency,
(c) angular frequency.(d) amplitude. and (c) maximum speed of
the glider

Answer 1

a) Period T=t/N=33s/10=3.3s.
b) frequency ν=1/T=1/3.3s=0.3Hz.
c) angular frequency ω=2πν=2⋅π⋅0.3=1.88s^(-1)
(d) amplitude A=(60cm-10cm)/2=25cm=0.25m
e) maximum speed of the glider v_max=Aω=0.25m⋅1.88s^(-1)=0.47〖ms〗^(-1).