AP EAMCET Engineering 21 Apr 2019 Shift 1 Paper

The diagram of the sine wave function is shown below.

The expression for the angular velocity is given by,
ω=‌

2π

T

Substitute the given value in the above equation.
ω=‌

2π

8

(∵T=8s‌ for complete cycle ‌)
=‌

π

4

rad∕s
The acceleration in the simple harmonic motion is calculated as,
α‌‌=−ω2a‌sin‌ω‌t
‌‌=−(‌

π

4

)2×1×sin(‌

π

4

×‌

4

3

)
‌‌=−‌

π2

16

×‌

√3

2

‌‌=−‌

π2√3

32

cms−2