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Aliun [14]
4 years ago
15

The period of a pendulum is the time it takes for the pendulum to make one full​ back-and-forth swing. The period of a pendulum

depends on the length of the pendulum. The formula for the period​ P, in​ seconds, is Upper P equals 2 pi StartRoot StartFraction Upper L Over 32 EndFraction EndRootP=2π L 32​, where L is the length of the pendulum in feet. Find the period of a pendulum whose length is one eightteenth 1 18 ft. Give an exact answer and a​ two-decimal-place approximation.
Physics
1 answer:
mixer [17]4 years ago
3 0

Answer: 0.04 s

Explanation:

The given equation for the period T of a pendulum when the acceleration due gravity is given in feet per squared second g=32 ft/s^{2} is:

T=2 \pi \sqrt{\frac{l}{32 ft/s^{2}}}

Where l=\frac{1}{18} ft is the length of the pendulum

T=2 \pi \sqrt{\frac{\frac{1}{18} ft}{32 ft/s^{2}}}

T=0.04 s

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Carey and Marcy are performing a lab to determine the speed of sound in air with the apparatus that was demonstrated in the vide
andre [41]

Answer:

the frequency is the fundamental and distance is    L = ¼ λ

Explanation:

This problem is a phenomenon of resonance between the frequency of the tuning fork and the tube with one end open and the other end closed, in this case at the closed end you have a node and the open end a belly, so the wavelength is the basis is

          λ = 4 L

In this case L = 19.4 cm = 0.194 m

let's use the relationship between wave speed and wavelength frequency and

           v = λ f

where the frequency is f = 440 Hz

           v = 4 L f

let's calculate

           v = 4 0.194 440

           v = 341.44 m / s

so the frequency is the fundamental and distance is

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5 0
4 years ago
Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 64.7 N64.7 N , Ji
WARRIOR [948]

Answer:

(a) Magnitude of force is 262.51 N

(b) Angle with East direction is -14.75^{o}

Explanation:

Force by Jack in vector form

\overrightarrow F _1} = 64.7{\rm{ N}}\left( {\hat i} \right)  

Force by Jill in Vector form is given by

\begin{array}{c}\\{\overrightarrow F _2} = 86.5{\rm{ N }}\cos {\rm{4}}{{\rm{5}}^{\rm{o}}}\left( {\hat i} \right) + 86.5{\rm{ N }}\sin {\rm{4}}{{\rm{5}}^{\rm{o}}}\left( {\widehat j} \right)\\\\ = 61.16{\rm{ N}}\left( {\hat i} \right) + 61.16{\rm{ N}}\left( {\widehat j} \right)\\\end{array}

Force by Jane is

\begin{array}{c}\\{\overrightarrow F _3} = 181{\rm{ N }}\cos {\rm{4}}{{\rm{5}}^{\rm{o}}}\left( {\hat i} \right) + 181{\rm{ N }}\sin {\rm{4}}{{\rm{5}}^{\rm{o}}}\left( { - \widehat j} \right)\\\\ = 128{\rm{ N}}\left( {\hat i} \right) + 128{\rm{ N}}\left( { - \widehat j} \right)\\\end{array}

Net force is:

\overrightarrow F = {\overrightarrow F _1} + {\overrightarrow F _2} + {\overrightarrow F _3}

Hence

\begin{array}{c}\\\overrightarrow F = 64.7{\rm{ N}}\left( {\hat i} \right) + 61.16{\rm{ N}}\left( {\hat i} \right) + 61.16{\rm{ N}}\left( {\widehat j} \right) + 128{\rm{ N}}\left( {\hat i} \right) + 128{\rm{ N}}\left( { - \widehat j} \right)\\\\ = 253.86{\rm{ N}}\left( {\hat i} \right) - 66.84{\rm{ N}}\left( {\widehat j} \right)\\\end{array}

The net force will be given by

F = \sqrt {{{\left( {{F_x}} \right)}^2} + {{\left( {{F_y}} \right)}^2}

Since F_{x}=253.86N and F_{y}=-66.84N

\begin{array}{c}\\F = \sqrt {{{\left( {253.86{\rm{ N}}} \right)}^2} + {{\left( { - 66.84{\rm{ N}}} \right)}^2}} \\\\ = {\bf{262.51 N}}\\\end{array}

The direction of net force is:

\theta = {\tan ^{ - 1}}\left {\frac{{{F_y}}}{{{F_x}}}}

Since F_{x}=253.86N and F_{y}=-66.84N  

\begin{array}{c}\\\theta = {\tan ^{ - 1}}\left( {\frac{{ - 66.84{\rm{ N}}}}{{253.86{\rm{ N}}}}} \right)\\\\ = {\tan ^{ - 1}}\left( { - 0.2633} \right)\\\\ = {\bf{ - 14}}{\bf{.7}}{{\bf{5}}^{\bf{o}}}\\\end{array}

The angle with East direction is -14.75^{o}

Net force exerted on the donkey is in the south-east direction. So, the angle of net force from the east direction is -14.75^{o} and it is 14.75^{o} from the south.

5 0
3 years ago
A stone is dropped from the roof of a high building. a second stone is dropped 1.50 s later. how far apart are the stones when t
Aleksandr [31]

2nd stone time = 13.0/9.8 = 1.33 seconds

distance = 0.5*9.8*1.33^2 = 8.67 meters

1st stone time = 1.33+1.5 = 2.83 seconds

distance = 0.5*9.8*2.83^2 = 39.24 meters

39.24-8.67 = 30.57 meters apart

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Answer:

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Explanation:

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4 years ago
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