Answer:
Final angular velocity is 35rpm
Explanation:
Angular velocity is given by the equation:
I1w1i + I2w2i = I1w1f -I2w2f
But the two disks are identical, so Ii =I2
wf can be calculated using
wf = w1i - w2i/2
Given: w1i =50rpm w2i= 30rpm
wf= (50 + 20) / 2
wf= 70/2 = 35rpm
Answer:
4.54
Explanation:
X+10X=50
11X=50
X=4.54#
<h2>please follow me...</h2>
Answer:
The maximum height will be 7408.8 meters
Explanation:
final velocity = initial velocity + acceleration × time
final velocity = 0 m/s + 58.8 m/s^2 ×6 s
Final velocity = 352.8 m/s
final velocity ^2 = initial velocity ^2 + 2 × acceleration × displacement
(352.8)^2 = (0)^2 + 2×58.8 ×displacement
Solving for displacement,
height = 1058.4 meters.
After this, the rocket is in free fall, we can use the same equation.
final velocity ^2 = initial velocity ^2 + 2 ×acceleration×displacement
final velocity = 0
0^2 = 352.8^2 + 2×(-9.8)×displacement
displacement = 6350.4 meters
the maximum height will be 7408.8 meters
Answer:
A) 854.46 kPa
Explanation:
P₁ = initial pressure of the gas = 400 kPa
P₂ = final pressure of the gas = ?
T₁ = initial temperature of the gas = 110 K
T₂ = final temperature of the gas = 235 K
Using the equation

Inserting the values

P₂ = 854.46 kPa
0.119cm/s is the radius of the balloon increasing when the diameter is 20 cm.
<h3>How big is a circle's radius?</h3>
The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.
A circle's diameter cuts through the center and extends from edge to edge, in contrast to a circle's radius, which extends from center to edge. Essentially, a circle is divided in half by its diameter.
dv/dt = 150cm³/s
d = 2r = 20cm
r = 10cm
find dr/dt
Given that the volume of a sphere is calculated using
v = 4/3πr³
Consider both sides of a derivative
d/dt(v) = d/dt( 4/3πr³)
dv/dt = 4/3π(3r²)dr/dt = 4πr²dr/dt
Hence,
dr/dt = 1/4πr².dv/dt
dr/dt = 1/4π×(10)²×150
dr/dt = 1/4π×100×150
dr/dt = 0.119cm/s.
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