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tino4ka555 [31]
3 years ago
8

A pendulum completes 2 oscillation in 5s.

Physics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

<h2>a) 2.5 s</h2><h2>b) 1.55 m</h2><h2 />

Explanation:

<h3>Given :-</h3><h2>Completes 2 oscillation in 5s.</h2><h2>A) Time period = ?</h2><h2 /><h2>t \:  = \frac{total \: time \: }{total \: no \: of \: oscillation}</h2><h2 /><h2>\frac{5}{2}  = 2.5s</h2>

<em>Thus 1 oscillation is completed in 2.5 </em><em>s.</em>

<h2>B) If g = 9.8 ms−², find its length.</h2><h2>t \:  = 2\pi  \frac{ \sqrt{l} }{g }</h2><h3>= 2.5s </h3><h3>2\pi \frac{ \sqrt{l} }{g}</h3><h3>Length = ? </h3><h2>\frac{ {t}^{2} }{4\pi {}^{2} }  \times g</h2><h3 /><h3>\frac{2.5}{ {4}^{2} }  \times 9.8 = 1.55m</h3>

Thus the length of g = 9.8 ms −² = 1.55m

<h2>Hope it helps u.......</h2><h2>STAY SAFE, STAY HEALTHY AND BLESSED .</h2><h2> HAVE A MARVELOUS DAY AHEAD !</h2><h2>THANK YOU !</h2>
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Explanation:

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v_{b}-v_{a} = \int\limits^{t_{b}}_{t_{a}} {a(t)} \, dt

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v_{4} = 2\,\frac{m}{s}  +\int\limits^{4\,s}_{0\,s} {\left(-2\,\frac{m}{s^{2}} \right)} \, dt

v_{4} = 2\,\frac{m}{s}+\left(-2\,\frac{m}{s^{2}} \right) \cdot (4\,s-0\,s)

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Region II (t = 4 s to t = 6 s)

v_{6} = -6\,\frac{m}{s}  +\int\limits^{6\,s}_{4\,s} {\left(1\,\frac{m}{s^{2}} \right)} \, dt

v_{6} = -6\,\frac{m}{s}+\left(1\,\frac{m}{s^{2}} \right) \cdot (6\,s-4\,s)

v_{6} = -4\,\frac{m}{s}

Region III (t = 6 s to t = 10 s)

v_{10} = -4\,\frac{m}{s}  +\int\limits^{10\,s}_{6\,s} {\left(2\,\frac{m}{s^{2}} \right)} \, dt

v_{10} = -4\,\frac{m}{s}+\left(2\,\frac{m}{s^{2}} \right) \cdot (10\,s-6\,s)

v_{10} = 4\,\frac{m}{s}

Finally, we draw the object's velocity graph as follows. Graphic is attached below.

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