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Ivanshal [37]
4 years ago
7

A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.82

7 m and 2.89 kg, respectively. When the propeller rotates at 507 rpm (revolutions per minute), what is its rotational kinetic energy K
Physics
1 answer:
melisa1 [442]4 years ago
4 0

Answer:

3241.35J

Explanation:

No. Of rods = 5

Mass = 2.89kg

Length (L) = 0.827m

W = 507rpm

Kinetic energy of rotation = ½I*ω²

For each rod, the moment of inertia (I) = ML² / 3

I = ML² / 3

I = [2.89*(0.827)²] / 3

I = 1.367 / 3 = 0.46kgm²

ω = 507 rev/min. Convert rev/min to rev/sec.

507 * 2Πrads/60s = 53.09rad/s

ω = 53.09rad/s

k.e = ½ I * ω²

K.E = ½ * 0.46 * (53.09)²

K.E = 648.27.

But there five (5) rods, so kinetic energy is equal to

K.E = 5 * 648.27 = 3241.35J

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Explanation:

The main reason spiders spin webs is to catch their dinner. When an insect, such as a fly, flies into a spider's web, it gets stuck on the sticky threads. When a spider catches prey in the sticky strands of its web, it approaches the trapped insect and uses its fangs to inject venom.

3 0
3 years ago
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I lift a 100 kg mass to a height of 5 meters, how much work would i have none?
defon
Work=mass×gravity due to acceleration ×height
Work=100×9.8×5
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3 0
4 years ago
The half-life of radium-226 is 1600 years. How many
Alenkinab [10]

Answer:

1600 years half life

3200/1600 is 2 half lifes

first half life takes the sample to 1/2 it's original amount and the second takes it to 1/4 of it's original amount

so 1/4*7gm is 1.75gm

Explanation:

7 0
3 years ago
Air is being pumped into a spherical balloon so that its volume increases at a rate of 150 cm3/s. How fast is the radius of the
Slav-nsk [51]

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.

To know more about radius visit:

brainly.com/question/15053236

#SPJ4

3 0
1 year ago
Which major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun? C. orbital period around th
Yuliya22 [10]
<h2>Mercury, Neptune, and Jupiter </h2>

Explanation:

  • Mercury has the largest semimajor axis that is 5.791 x 107 in km.
  • Mercury is the planet with the fastest speed, which has an average orbital speed around the sun for about 47.87 km/s.
  • Neptune has the longest orbital speed around the sun of any planet in the Solar System which is equivalent to 164.8 years (or 60,182 Earth days)
  • Jupiter has the largest eccentricity.

Hence, the answer is Mercury, Neptune, and Jupiter respectively.

6 0
4 years ago
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