Answer:
1.94601 rad/s
Explanation:
= Moment of inertia of carousel = 124 kgm²
= Angular speed of carousel = 3.5 rad/s
= Angular speed of person
r = Radius of carousel = 1.53 m
m = Mass of person = 42.3 kg
Moment of inertia of person
As the angular momentum is conserved in the system
The angular speed of the carousel after the person climbs aboard is 1.94601 rad/s
Answer:
equation of motion for the mass is x(t) = e^αt ( C1 cos √{α² - ω²} t + C2 sin √{α² - ω²} t )
Explanation:
Given data
mass = 3 slugs = 3 * 32.14 = 96.52 lbs
constant k = 9 lbs/ft
Beta = 6lbs * s/ft
mass is pulled = 1 ft below
to find out
equation of motion for the mass
solution
we know that The mass is pulled 1 ft below so
we will apply here differential equation of free motion i.e
dx²/dt² + 2 α dx/dt + ω² x =0 ........................1
here 2 α = Beta / mass
so 2 α = 6 / 96.52
α = 0.031
α² = 0.000961 ...............2
and
ω² = k/mass
ω² = 9 /96.52
ω² = 0.093 ..................3
we can say that from equation 2 and 3 that α² - ω² = -0.092239
this is less than zero
so differential equation is
x(t) = e^αt ( C1 cos √{α² - ω²} t + C2 sin √{α² - ω²} t )
equation of motion for the mass is x(t) = e^αt ( C1 cos √{α² - ω²} t + C2 sin √{α² - ω²} t )
Answer:
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Answer:
Correct answers:
Explanation:
• It is a satellite that collects data about rain and snow.
GPM is part of NASA's Earth Systematic Missions program and its function is to track precipitation from space with satellites and to provide accurate information of the time, place an amount of rain or snow anywhere in the world.
• Its orbit covers 90 percent of Earth's surface.
GPM has unique perspective on measuring precipitation from space because of their collected satellite retrievals.
• The sensors measure microwaves.
GPM Microwave Imager (GMI) is a sensor that observes the microwave energy emitted by the Earth and atmosphere, so it improves the accuracy of rain and snowfall estimates.
