Answer:
The angular speed is
.
Explanation:
The law of conservation of angular momentum says that for an isolated system

Now, when the student is at the rim of the platform the moment of inertia of the system is


,
and the angular speed is
.
When the student is
from the center,the moment of inertia of the system becomes



Thus, from conservation of angular momentum



which is the angular speed when the student is 0.861 meters from the center.
Answer:
1.31 m
Explanation:
The relationship between frequency and wavelength of a sound wave is

where
c is the speed of the wave
f is the frequency
is the wavelenfth
In this problem, we have
c = 343.06 m/s
f = 261.63 Hz
So we can solve the formula for the wavelength:

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Answer:
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