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iren [92.7K]
1 year ago
8

A wheel of radius 30.0 cm is rotating at a rate of 2.30 revolutions every 0.0810 s.Through what angle does the wheel rotate in 1

.00 s?What is the linear speed of a point on the wheel’s rim?What is the wheel’s frequency of rotation?
Physics
1 answer:
jeka57 [31]1 year ago
7 0

Given data

*The given radius of the wheel is r = 30.0 cm = 0.30 m

*Rate of rotation is 2.30 revolutions every 0.0810 s

The angle of the wheel rotates in one second is calculated as

\begin{gathered} \theta=(2.30\times2\pi)\times\frac{1}{0.0810} \\ =178.32\text{ radian} \end{gathered}

Hence, the angle of the wheel rotating in one second is 178.32 radian

The formula for the linear speed of a point on the wheel's rim is given as

v=r\omega

Substitute the known values in the above expression as

undefined

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A tuning fork of frequency 254 Hz and an open orang pipe of slightly lower frequency are at 15oC. When
katovenus [111]

The temperature of the air in the open orang pipe has been altered by 18.73° C

The frequency of an open orang pipe is estimated by using the formula:

\mathbf{f = \dfrac{v}{2L}}

Then, the combination of the frequency of the tuning fork and the open orang pipe is:

\mathbf{254 - \dfrac{v}{2L} }

These combinations of frequency produce 4 beats per sound.

i.e.

\mathbf{254 - \dfrac{v}{2L}   =4}

\mathbf{ \dfrac{v}{2L} = 254-4 }

\mathbf{ \dfrac{v}{2L} = 250 ----(1)}

When it is altered, the beats first diminish and increase again by 4.

i.e.

\mathbf{ \dfrac{v'}{2L} = 254+4 }

\mathbf{ \dfrac{v'}{2L} = 258 --- (2) }

If we equate both equations (1) and (2) together, we have:

\mathbf{\dfrac{v'}{v}= \dfrac{258}{250}}

However, from our previous knowledge, we understand that the velocity of an object varies directly proportional to the square root of its temperature.

Hence;

  • when the temperature of the pipe  = unknown ???
  • the temperature of the open orang pipe = 15

∴

\implies \mathbf{\sqrt{\Big(\dfrac{273 + T}{273 + 15}\Big)}= \dfrac{258}{250}}

By squaring both sides, we have:

\implies \mathbf{\Big(\dfrac{273 + T}{273 + 15}\Big)}= \Big (\dfrac{258}{250}\Big )^2}

\implies \mathbf{\Big(\dfrac{273 + T}{273 + 15}\Big)= \Big (\dfrac{66564}{62500}\Big )}

\implies \mathbf{\Big(\dfrac{273 + T}{288}\Big)= \Big (1.065024\Big )}

\implies \mathbf{273 +T =306.726912  }

T = 306.726912 - 273

T ≅ 33.73 ° C

∴

The change in temperature ΔT = 33.73° C - 15° C

The change in temperature ΔT = 18.73° C

Learn more about wave frequency here:

brainly.com/question/14316711?referrer=searchResults

4 0
3 years ago
PLS HELP
Kazeer [188]
The answer would be letter choice B
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An astronaut shipwrecked on a distant planet with unknown characteristics is on top of a cliff, which she wishes to descend. She
alexandr402 [8]

Answer:

y = 9.64 m

Explanation:

This exercise should be solved using kinematics in one dimension, let's write the equations for the two cases presented

The rock is released

         y = y₀ + V₀₁ t₁ - ½ g t₁²

In this case the speed starts is zero

         y = y₀ - ½ g t₁²

The rock ​​is thrown up

       y = y₀ + v₀² t₂ -½ g t₂²

The height that reaches the floor is zero

       y₀ - ½ g t₁² = y₀ + v₀₂ t₂ - ½ g t₂²

We use the initial velocity with the equation

         v₂² = v₀₂² - 2 g y

At the point of maximum height v₂ = 0

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        g (- 4.15² + 6.30²) = 2 √ (2 2 g) 6.3

        g (22.4675) = 25.2 √ g

        g² = 2²5.2 / 22.4675 g

        g = 1.12 m / s²

Having the value of g we can use any equation to find the height

        y = ½ g t₁²

       y = ½ 1.12 4.15²

        y = 9.64 m

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