Answer:
5.85 m/s²
Explanation:
Mass of pulley (M) = 6.8 kg, mass of bucket (m) = 1.5 kg, radius of pulley (r) = 0.816 m, acceleration due to gravity (g) = 10 m/s².
Let the tension exerted on the pulley be T and the angular acceleration be α,
The angular acceleration (α) = a / r; where a is the linear acceleration.
mg - T = ma
T = m(g - a)
Also, for the disk:
Tr = Iα
I = moment of inertia = 0.5Mr²
m(g - a)r = 0.5Mr²(a/r)
m(g - a)r = 0.5Mra
2m(g - a) = Ma
2mg - 2ma = Ma
Ma + 2ma = 2mg
a(M + 2m) = 2mg
a = 2mg / (M + 2m)
Substituting:
a = 2(3.1 kg)(10 m/s²) / (4.4 + 2(3.1))
a = 5.85 m/s²
Well, first of all, wherever you got this question from has done
a really poor job of question-writing. There are a few assorted
blunders in the question, both major and minor ones:
-- 22,500 is the altitude of a geosynchronous orbit in miles, not km.
-- That figure of 22,500 miles is its altitude above the surface,
not its radius from the center of the Earth.
-- The orbital period of a synchronous satellite has to match
the period of the Earth's rotation, and that's NOT 24 hours.
It's about 3 minutes 56 seconds less ... about 86,164 seconds.
Here's my solution to the question, using some of the wreckage
as it's given, and correcting some of it. If you turn in these answers
as homework, they'll be marked wrong, and you'll need to explain
where they came from. If that happens, well, serves ya right for
turning in somebody else's answers for homework.
The satellite is traveling a circle. The circle's radius is 26,200 miles
(not kilometers) from the center of the Earth, so its circumference
is (2 pi) x (26,200 miles) = about 164,619 miles.
Average speed = (distance covered) / (time to cover the distance)
= (164,619 miles) / day
(264,929 km)
= 6,859 miles per hour
(11,039 km)
= 1.91 miles per second
(3.07 km)
The time interval in which the larger force act is 1.1 seconds.
<h3>What is impulse?</h3>
The impulse produced by an object is determined from the product of force and time of force of the object.
The impulse experienced by an object is the product of mass and velocity of the object or simply the impulse experienced by object is equal to change in the momentum of an object.
J = Ft
where;
- F is the applied force
- t is the time of force acting
The magnitude of the force that produce impulse of 3 Ns for 3.2 seconds is calculated as;
F = J/t
F = (3 Ns) / (3.2 s)
F = 0.94 N
The magnitude of the force that is three times larger is calculated as;
F₂ = 3 x 0.94 N
F₂ = 2.82 N
The time interval of the larger force is calculated as;
t₂ = J/F₂
t₂ = 3 / 2.82
t₂ = 1.1 seconds
Thus, the impulse experienced by an object is a function of force and time of force action.
Learn more about impulse here: brainly.com/question/25700778
#SPJ1
240
Explanation:
because 60 times 4 is 240