Answer:
angular speed = 0.4 rad/s
Explanation:
given data
radius = 5 m
moment of inertia = 2000 kg-m²
angular speed = 1.0 rad/s
mass = 60 kg
to find out
angular speed
solution
Rotational momentum of merry-go-round = I?
we get here momentum that is express as
momentum = 2000 × 1
momentum = 2000 kg-m²/s
and
Inertia of people will be here as
Inertia of people = mr² = 60 × 5²
Inertia of people = 1500 kg-m²
so Inertia of people for two people
1500 × 2 = 3000
and
now conserving angular momentum(ω)
moment of inertia × angular speed = ( momentum + Inertia of people ) angular momentum
2000 × 1 = (2000 + 3000 ) ω
solve we get now
ω = 0.4 rad/s
The centripetal acceleration of an object is given by the relation,

where Ac = centripetal acceleration =
R = radius of rotation = 15 m
V = speed of astronaut
Hence, 
solving this we get, V = 38.34 m/s
Velocity is the rate of change in distance over change in
time, this can be written as:
v = Δd / Δt
While acceleration is the rate of change in velocity over
change in time, this is written as:
a = Δv / Δt
<span>Both quantities are vector quantities because negative
values means that the acceleration or velocity is acting on the opposite
direction.</span>
Mass= density x volume
1.3 kg/m^3 x ( 2.5x4x10) m^3
= 130 kg
The wavelength was doubled, and its energy will be increased by 4 times.
looking at the formula
energy 
also, 
hence it is clear from above that energy is directly proportional to the square of the wavelength.
hence, The wavelength was doubled, and its energy will be increased by 4 times.
<h3>
What is Wavelength?</h3>
- The distance over which a periodic wave's shape repeats is known as the wavelength in physics.
- It is a property of both traveling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings.
- The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda is frequently used to represent wavelength.
- The term wavelength is occasionally used to describe modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.
To learn more about wavelength with the given link
brainly.com/question/13533093
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