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Oksanka [162]
3 years ago
13

A large, simple pendulum is on display in the lobby of the United Nations building. If the pendulum is 18.5 m in length, what is

the least amount of time it takes for the bob to swing from a position of maximum displacement to the equilibrium position of the pendulum? (Assume that the acceleration of gravity is g = 9.81 m/s2 at the UN building.)
Physics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Answer:

     t = 1,144 s

Explanation:

The simple pendulum consists of an inextensible string with a mass at the tip, the angular velocity of this is

     w = √( L / g)

The angular velocity is related to the frequency and period

     w = 2π f

      f = 1 / T

     w = 2π / T

Let's replace

     2π / T = √ (L / g)

     T = 2π √ (g / L)

Let's calculate

     T = 2π √ (9.81 / 18.5)

     T = 4,576 s

The definition of period in the time it takes the ball to come and go to a given point (a revolution) in our case we go from the end to the middle point that is a quarter of the path

     t = T / 4

     t = 4,576 / 4

     t = 1,144 s

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Resultant of a pair of 100 km/h velocity vectors that are at right angels to each other
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The resultant of the two vectors is 141 km/h.

Explanation:

When two vectors are at right angles to each other, their resultant can be calculated by using the Pythagorean's theorem:

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Learn more about vector addition here:

brainly.com/question/4945130

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A rock is thrown straight upward with an initial velocity of 20 m/s where the downward acceleration due to gravity is -10 m/s^2.
Afina-wow [57]

Answer:

4 seconds

Explanation:

Given:

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