QUESTION ONE Find the value of $$ T $$ in the formula $$ T=\pi \sqrt{\frac{h \sin x}{g}} $$ when $$ h-2,5, g=9,81, x=75^{\circ} $$, (a) giving your answer correct to four decimal places.

Question

UpStudy AI · Accepted Answer

To find the value of $$ T $$ in the formula

$$
T = \pi \sqrt{\frac{h \sin x}{g}},
$$

we need to substitute the given values: $$ h = 2.5 $$, $$ g = 9.81 $$, and $$ x = 75^\circ $$.

First, we need to calculate $$ \sin(75^\circ) $$. Using a calculator, we find:

$$
\sin(75^\circ) \approx 0.9659.
$$

Now we can substitute the values into the formula:

$$
T = \pi \sqrt{\frac{2.5 \cdot 0.9659}{9.81}}.
$$

Calculating the numerator:

$$
2.5 \cdot 0.9659 \approx 2.41475.
$$

Now, we divide by $$ g $$:

$$
\frac{2.41475}{9.81} \approx 0.246.
$$

Next, we take the square root:

$$
\sqrt{0.246} \approx 0.496.
$$

Finally, we multiply by $$ \pi $$:

$$
T \approx \pi \cdot 0.496 \approx 1.558.
$$

Thus, rounding to four decimal places, we have:

$$
T \approx 1.5580.
$$

Therefore, the value of $$ T $$ is

$$
\boxed{1.5580}.
$$
$$ T \approx 1.5580 $$.

QUESTION ONE
Find the value of in the formula when ,
(a) giving your answer correct to four decimal places.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Pre Calculus Questions

QUESTION ONE Find the value of in the formula when , (a) giving your answer correct to four decimal places.