The displacement y of a particle varies with time t, in second, as y=2 cos (π t+π /6) . The time period of the oscillations is

Question

The displacement y of a particle varies with time t, in second, as y=2 cos (π t+π /6) . The time period of the oscillations is (A) 2s (B) 4s (C) 1s (D) 0.5s

Tardigrade Admin · Accepted Answer

Given, y=2 cos (π t+π /6) Time period T=(2π /ω ) ω =π it from the given equation T=(2π /π ) T=2s

Q. The displacement $y$ of a particle varies with time t, in second, as $y = 2 cos (π t + π /6)$ . The time period of the oscillations is

2s

4s

1s

0.5s

Given, $y = 2 cos (π t + π /6)$ Time period $T = \frac{2 π}{ω}$ $ω = π$ it from the given equation $T = \frac{2 π}{π}$ $T = 2 s$

Q. The displacement y of a particle varies with time t, in second, as y=2cos(πt+π/6) . The time period of the oscillations is

2s

4s

1s

0.5s

Given, y=2cos(πt+π/6) Time period T=ω2π​ ω=π it from the given equation T=π2π​ T=2s

Q. The displacement $y$ of a particle varies with time t, in second, as $y = 2 cos (π t + π /6)$ . The time period of the oscillations is

Given, $y = 2 cos (π t + π /6)$ Time period $T = \frac{2 π}{ω}$ $ω = π$ it from the given equation $T = \frac{2 π}{π}$ $T = 2 s$