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Kitty [74]
3 years ago
11

Rank in order, from smallest to largest, the six torques (torque 1 to torque 2) about the hinge.?

Physics
1 answer:
anzhelika [568]3 years ago
5 0
The solution for this problem is:torque1 = torque2 = FL / 2 
Torque 3 = Torque 4 = FL / 2 * sin (theta) 
Torque 5 = 2 FL 
Torque 6 = 0 

So the order of the torques from smallest to largest is torque 6, (torque 3 and 4), (torque 1 and 2), torque 5.


Remember or just take note that sin (theta) < 1 is why 3 and 4 are less than 1 and 2.
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Answer:

A. 13 cm

Explanation:

here the total diameter is given 4 cm,

here the radius then will be 2 cm.

use the formula of circumference of circle = 2πr ........where r is the radius

using the formula: 2 * π * 2 = 4π = 12.57 = 13 cm.

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A race car has a mass of 710 kg. It starts from rest and travels 40 m in 3.0 s. The car is uniformly accelerated during the enti
Archy [21]

The net force applied to it is 6311.9 N.

To calculate the net force to the car, first, we need to find the acceleration using the equation of motion.

Force: This as be defined as the product of mass and acceleration of a body. The S.I unit of force is Newton (N)

⇒ Formula

  • S = ut+at²/2................. Equation 1

⇒ Where:

  • u = Initial velocity
  • S = Distance
  • t = Time
  • a = acceleration

From the question,

 ⇒Given:

  • S = 40 m
  • t = 3.0 s
  • u = 0 m/s (at rest)

⇒ Substitute these values into equation 1

  • 40 = 0(3)+a(3²)/2

⇒ Solve for a

  • 9a = 80
  • a = 80/9
  • a = 8.89 m/s²

⇒ To get the force, we use the formula below

  • F = ma    .................... Equation 2

⇒ Where:

  • F = Force applied
  • m = mass of the car

⇒ Given:

  • m = 710 kg
  • a = 8.89 m/s²

⇒ Substitute these values into equation 2

  • F = 710(8.89)
  • F = 6311.9 N

Hence the net force applied to it is 6311.9 N.

Learn more about force here: brainly.com/question/13370981

6 0
2 years ago
A soccer ball of diameter 22.6cm and mass 426g rolls up a hill without slipping, reaching a maximum height of 5m above the base
-Dominant- [34]

Answer with Explanation:

We are given that

Diameter=d=22.6 cm

Mass,m=426 g=426\times 10^{-3} kg

1 kg=1000 g

Radius,r=\frac{d}{2}=\frac{22.6}{2}=11.3 cm=11.3\times 10^{-2} m

1m=100 cm

Height,h=5m

I=\frac{2}{2}mr^2

a.By law of conservation of energy

\frac{1}{2}I\omega^2+\frac{1}{2}mv^2=mgh

\frac{1}{2}\times \frac{2}{3}mr^2\omega^2+\frac{1}{2}mr^2\omega^2=mgh

v=\omega r

gh=\frac{1}{3}r^2+\frac{1}{2}r^2=\frac{5}{6}r^2\omega^2

\omega^2=\frac{6}{5r^2}gh

\omega=\sqrt{\frac{6gh}{5r^2}}=\sqrt{\frac{6\times 9.8\times 5}{5(11.3\times 10^{-2})^2}}=67.86 rad/s

Where g=9.8m/s^2

b.Rotational kinetic energy=\frac{1}{2}I\omega^2=\frac{1}{2}\times \frac{2}{3}mr^2\omega^2=\frac{1}{2}\times \frac{2}{3}(426\times 10^{-3})(11.3\times 10^{-2})^2(67.86)^2=8.35 J

Rotational kinetic energy=8.35 J

6 0
3 years ago
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