Answer:
Explanation:
x ( t ) = sin ( π 10 t )
This is the equation of a simple harmonic  motion .
standard equation of simple harmonic  motion is as follows
x ( t ) = A sin  ωt , A is amplitude , and ω is angular frequency .
The angular frequency ω = 10π
If time period be  T
ω = 2π / T
10Ï€ = 2Ï€ / T
T = 2Ï€ / 10Ï€
T = .2 s .
Time period = .2 s .