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2 years ago

Why is there two π in the formula of a mathematical pendulum (T=2π √l/g)?

Physics

1 answer:

uysha [10]2 years ago

5 0

Answer:

The π is from the initial formula of period T=2π/omega

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A 56 kg astronaut stands on a bathroom scale inside a rotating circular space station. The radius of the space station is 250 m.

Zielflug [23.3K]

Answer:

The speed of space station floor is 49.49 m/s.

Explanation:

Given that,

Mass of astronaut = 56 kg

Radius = 250 m

We need to calculate the speed of space station floor

Using centripetal force and newton's second law

$F=mg$

$\dfrac{mv^2}{r}=mg$

$\dfrac{v^2}{r}=g$

$v=\sqrt{rg}$

Where, v = speed of space station floor

r = radius

g = acceleration due to gravity

Put the value into the formula

$v=\sqrt{250\times9.8}$

$v=49.49\ m/s$

Hence, The speed of space station floor is 49.49 m/s.

6 0

2 years ago

Who is most likely to benefit from use of lithium?

Alexxx [7]

I think that the people who are most likely to benefit from lithium is people with bipolar disorder. Because there have been tests that recently show that they use it for patients with that disease.

4 0

3 years ago

In a tape recorder, the tape is pulled past the read-and-write heads at a constant speed by the drive mechanism. Consider the re

Irina-Kira [14]

Answer:

Torque decreases .

Explanation:

The tape is pulled at constant speed , speed v is constant , so there is

v = ω r where ω is angular speed and r is radius , As radius decreases , angular speed ω increases , So there is angular acceleration .

Let it be α . Let I be moment of inertia of reel .

Reel is in the form of disc

I = 1/2 m r²

I x α = torque

1/2 m r² x α = torque

As the reel is untapped , its mass decreases , r also decreases , so torques also decreases .

6 0

2 years ago

How many components can be realized of a vector?

stiv31 [10]

Answer:

<em>two different components</em>

Explanation:

<em>Any two-dimensional vector can be conceived of as having two distinct components. The component of a single vector describes the vector's effect in a specific direction.</em>

3 0

1 year ago

Human fingers are very sensitive, detecting vibrations with amplitudes as low as 2.0x10^-5m. Consider a sound wave with a wavele

Kobotan [32]

Answer:

18,850 Hz

Explanation:

We need to figure out the wavelength of the sound wave.

Thus,

Wavelength = 1000 * Lowest Amplitude Wave

Wavelength = 1000 * 2.0 * 10^(-5)

Wavelength = 0.02

Or,

$\lambda=0.02$

Now, we need the frequency of this wave. It goes by the formula:

$f=\frac{v}{\lambda}$

Where

f is the frequency in Hz

v is the speed of sound in air (to be 377 m/s)

$\lambda$ is the wavelength (we found to be 0.02)

Substituting, we find the frequency:

$f=\frac{v}{\lambda}\\f=\frac{377}{0.02}\\f=18850$

The wave has frequency of 18,850 Hz

3 0

3 years ago