Question

100point
Answer ASAP
Thank you so much
Please show work

Answer 1

a) 0.96 s (2 d.p.)

b) 2.78 s (2 d.p.)

Explanation:

Given equation for Period T:

`T=2 \pi \sqrt{(L)/(980)`

Part (a)

Given:

• L = 23 cm
• π = 3.14

Substitute the given value into the formula and solve for T:

`\implies T=2 \cdot 3.14 \cdot\sqrt{(23)/(980)`

`\implies T=6.28(√(115))/(70)`

`\implies T=(157√(115))/(1750)`

`\implies T=0.9620785322`

`\implies T=0.96\: \sf s \: \:(2 \:d.p.)`

Part (b)

Given:

• L = 192 cm
• π = 3.14

Substitute the given value into the formula and solve for T:

`\implies T=2 \cdot 3.14 \cdot\sqrt{(192)/(980)`

`\implies T=6.28{\sqrt{(48)/(245)}`

`\implies T=(628√(15))/(875)`

`\implies T=2.779695476`

`\implies T=2.78\:\sf s \: \:(2\:d.p.)`