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Crank
4 years ago
13

The study of alternating electric current requires the solutions of equations of the form i equals Upper I Subscript max Baselin

e sine 2 pi ft comma for time t in​ seconds, where i is instantaneous current in​ amperes, Imax is maximum current in amperes and f is the number of cycles per second. Find the least positive value of​ t, given the following data. i=180, Imax=200, f=50
Physics
1 answer:
KiRa [710]4 years ago
8 0

Answer:

Explanation:

i = Imax sin2πft

given i = 180 , Imax = 200 , f = 50  , t = ?

Put the give values in the equation above

180 = 200 sin 2πft

sin 2πft = .9

sin2π x 50t = .9

sin 360 x 50 t = sin ( 360n + 64 )

360 x 50 t = 360n + 64

360 x 50 t =  64 ,  ( putting n = 0 for least value of t )

18000 t = 64

t = 3.55 ms  .

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What is the period of a pendulum that takes 3 seconds to move forward, and another 3 seconds to come back?
Serga [27]

The period of the pendulum is 6 seconds.

<h3>What is period?</h3>

Period is the time taken for a simple pendulum to move to(forward) and fro(backward). The s.i unit of period is seconds(s).

Note: When a simple pendulum moves to and fro. it completes one cycle.

From the question, The period of the pendulum is calculated using the formula below.

<h3>Formula</h3>
  • T = a+b.............. Equation 1

Where:

  • T = Period of the pendulum
  • a = Time taken for the pendulum to move forward
  • b = Time taken for the pendulum to move backward.

From the question,

Given:

  • a = 3 seconds
  • b = seconds

Substitute the values above into equation 1

  • T = 3+3
  • T = 6 seconds.

Hence, The period of the pendulum is 6 seconds.

Learn more about period here: brainly.com/question/21924087

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3 years ago
A truck passes point A on a straight level road with a constant velocity of 12 m/s. At the same instant, an automobile starts fr
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Answer:

t = 13.3 s

Explanation:

Let the car will overtake the truck after time "t" seconds

so here we can say that after time "t" seconds the distance covered by the car will be same as that of distance covered by truck

So we have

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d_{truck} = 12 t

d_{car} = \frac{1}{2}(1.8 m/s^2) t^2

so now we have

12 t = 0.9 t^2

t = 13.3 s

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Explanation: ...

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