Time period of a simple pendulum is $T$. The time taken to complete $\frac { 5 } { 8 }$ oscillations starting from mean position is $\frac { \alpha } { 12 } T$. The value of $\alpha$ is $\_\_\_\_$ .
Time period of a simple pendulum is $T$. The time taken to complete $\frac { 5 } { 8 }$ oscillations starting from mean position is $\frac { \alpha } { 12 } T$. The value of $\alpha$ is $\_\_\_\_$ .