Question

100point
Answer ASAP
Thank you so much
Please show work

Answer 1

Answer:

a)  0.96 s (2 d.p.)

b)  2.78 s (2 d.p.)

Step-by-step explanation:

Given equation for Period T:

$T=2 \pi \sqrt{\dfrac{L}{980}$

Part (a)

Given:

• L = 23 cm
• π = 3.14

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

$\implies T=2 \cdot 3.14 \cdot\sqrt{\dfrac{23}{980}$

$\implies T=6.28\dfrac{\sqrt{115}}{70}$

$\implies T=\dfrac{157\sqrt{115}}{1750}$

$\implies T=0.9620785322$

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

Part (b)

Given:

• L = 192 cm
• π = 3.14

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

$\implies T=2 \cdot 3.14 \cdot\sqrt{\dfrac{192}{980}$

$\implies T=6.28{\sqrt{\dfrac{48}{245}}$

$\implies T=\dfrac{628\sqrt{15}}{875}$

$\implies T=2.779695476$

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