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3 years ago

A figure skater begins spinning counterclock-

Physics

1 answer:

wlad13 [49]3 years ago

3 0

Answer:

Angular acceleration, $\alpha =0.64\ rad/s^2$

Explanation:

Given that,

Initial angular velocity, $\omega_i=4.67\ rad/s$

The final angular velocity, $\omega_f=7.37\ rad/s$

Time, t = 4.2 s

We need to find her average angular acceleration during this time interval. Acceleration is the rate of change of velocity. So,

$\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.37-4.67}{4.2}\\\\\alpha =0.64\ rad/s^2$

So, her average angular acceleration is $0.64\ rad/s^2$ .

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A 66-foot-tall woman walks at 55 ft/s toward a street light that is 2424 ft above the ground. What is the rate of change of th

I am Lyosha [343]

Answer:

a. $\frac{dx}{dt}=20ft/s$

b. $\frac{d(x+L)}{dt}==25ft/s$

Explanation:

Using the triangle theorem both triangle the woman makes between the light so the rate of change of length can use geometry first

$tan(\beta)=\frac{24ft}{L+x}=\frac{6ft}{x}$

Solve to find the rate relation

$x=\frac{24}{6}*L$

$x=4*L$

Now the rate of the change rate

$\frac{dx}{dt}=4*\frac{dL}{dt}$

$\frac{dx}{dt}=4*5ft/s=20ft/s$

Finally the rate of her shadow moving

$\frac{d(x+L)}{dt}=\frac{dx}{dt}+\frac{dL}{dt}$

$\frac{d(x+L)}{dt}=20ft/s+5ft/s=25ft/s$

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3 years ago

A guitar string has a linear density of 8.30 ✕ 10−4 kg/m and a length of 0.660 m. the tension in the string is 56.7 n. when the

Sedbober [7]

Ans: Beat Frequency = 1.97Hz

Explanation:
The fundamental frequency on a vibrating string is

$f = \sqrt{ \frac{T}{4mL} }$ -- (A)

here, T=Tension in the string=56.7N,
L=Length of the string=0.66m,
m= mass = 8.3x10^-4kg/m * 0.66m = 5.48x10^-4kg 

Plug in the values in Equation (A)

so $f = \sqrt{ \frac{56.7}{4*5.48*10^{-4}*0.66} }$ = 197.97Hz 

the beat frequency is the difference between these two frequencies, therefore:
Beat frequency = 197.97 - 196.0 = 1.97Hz
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Softa [21]

Answer:

The observable universe is still huge, but it has limits. because it's most likely like an plane all round.

Explanation:

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