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Lady_Fox [76]
3 years ago
11

Given the following frequencies, calculate the corresponding periods. a. 60 Hz b. 8 MHz c. 140 kHz d. 2.4 GHz

Physics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

The frequency can be defined as the inverse of the period, that is, it can be expressed as

T = \frac{1}{f}

Here,

T = Period

f = Frequency

For each value we only need to replace the value and do the calculation:

PART A)

T = \frac{1}{f}

T = \frac{1}{60Hz}

T = 0.0166s

PART B)

T = \frac{1}{f}

T = \frac{1}{8*10^6}

T = 1.25*10^{-7} s

PART C)

T = \frac{1}{f}

T = \frac{1}{140*10^{3}}

T = 7.14*10^{-6}s

PART D)

T = \frac{1}{f}

T = \frac{1}{2.4*10^{9}}

T = 4.166*10^{-10}s

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A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of
Rudiy27

Answer:

Explanation:

Given

mass of spring m=100\ gm

extension in spring x=5\ cm

downward velocity v=70\ cm/s

Position in undamped free vibration is given by

u(t)=A\cos \omega _0t+B\sin \omega _0t

where \omega _0^2=\frac{k}{m}

also \frac{k}{m}=\frac{g}{L}

\omega _0^2=\frac{k}{m}=\frac{9.8}{0.05}

\omega _0=14

u(t)=A\cos(14t)+B\sin(14t)

it is given

u(0)=0

u'(0)=70\ cm/s

substituting values we get

A=0

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u'(t)=14B\cos (14t)

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What is Marie's instantaneous speed at 20 minutes in miles/min?
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The speedometer of a car reports the instantaneous speed.

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