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liq [111]
4 years ago
14

Select the situation for which the torque is the smallest.

Physics
1 answer:
alina1380 [7]4 years ago
6 0

Answer:

e. The torque is the same for all cases.

Explanation:

The formula for torque is:

τ = Fr

where,

τ = Torque

F = Force = Weight (in this case) = mg

r = perpendicular distance between force an axis of rotation

Therefore,

τ = mgr

a)

Here,

m = 200 kg

r = 2.5 m

Therefore,

τ = (200 kg)(9.8 m/s²)(2.5 m)

<u>τ = 4900 N.m</u>

<u></u>

b)

Here,

m = 20 kg

r = 25 m

Therefore,

τ = (20 kg)(9.8 m/s²)(25 m)

<u>τ = 4900 N.m</u>

<u></u>

c)

Here,

m = 8 kg

r = 62.5 m

Therefore,

τ = (8 kg)(9.8 m/s²)(62.5 m)

<u>τ = 4900 N.m</u>

<u></u>

Hence, the correct answer will be:

<u>e. The torque is the same for all cases.</u>

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A centrifugal pump rotates at n˙ = 740 rpm. Suppose the pump has some swirl at the inlet (α1 = 10°) and exits at an angle of 35°
Blizzard [7]

Answer:

Net head = 380cm

bhp = 17.710kW

Explanation:

Angular velocity of centrifugal pump:

w=\frac{2\pi n}{60}=\frac{2\pi (750)}{60}=78.54\frac{rad}{s}

Normal velocity component at outlet of pump:

V_{2,n}=\frac{V}{2\pi r_{2}b_{2}}=\frac{0.573}{2\pi (0.24)(0.162)}}=2.346\frac{m}{s}

Tangential velocity component at exit of the pump:

V_{2,t}=v_{2,n}tan\alpha _{2}=(2.346)tan(35)=1.643\frac{m}{s}

Normal velocity component at inlet of pump:

V_{1,n}=\frac{V}{2\pi r_{1} b_{1}}=\frac{0.573}{2\pi (0.12)(0.18)}=4.22\frac{m}{s}

Tangential velocity component at inlet of the pump:

V_{1,t}=v_{1,n}tan\alpha _{1}=(4.22)tan(0)=0\frac{m}{s}

Equivalent head in centimetre of water column:

H_{water}=H(\frac{rho_{air}}{rho_{water}})\\\\H_{water}=(\frac{w}{g} )(r_{2}V_{2,t}-r_{1}V_{1,t})(\frac{rho_{air}}{rho_{water}}) \\\\H_{water}=(\frac{78.54}{9.81})((0.24)(1.643)-(0.12)(0)})(\frac{1.2}{998})=38m=380cm

Break horse power:

bhp=rho_{water} gHV=rho_{water} g[(\frac{w}{g})(r_{2}V_{2,t}-r_{1}V_{1,t})]V\\\\bhp=(998)(9.81)[(\frac{78.54}{9.81})((0.24)(1.643)-(0.12)(0))](0.573)=17710W=17.710kW

8 0
3 years ago
Which was not a part of faradays law regarding the induced voltage in a coil?
sveta [45]
Your answer would be C. Hope this helps!!
7 0
3 years ago
Read 2 more answers
A 1,800-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.00 m before coming into contact
Jobisdone [24]

Answer:

average force = 385,140 N

Explanation:

from the question we are given the following

mass (m) = 1800 kg

distance of fall (d) = 3 m

driven distance (l) = 14.4 cm = 0.144 m

acceleration due to gravity (g) = 9.8 m/s^{2}

work done = average force x driven distance.....equation 1

and

work done = change in kinetic energy + change in potential energy

work done = (0.5 x m x (v^{2} - u^{2})) + (m x g x (-d-l))

  • Initial velocity (u) and final velocity (v) are zero because the pile driver is it rest before it moves to hit the pile and after hitting the pile.
  • The changes in length for the potential energy are negative because the pile moves downward

we now have work done = (m x g x (-d-l))...equation 2

now equating the two equations for work done we have

average force x driven distance = (m x g x (-d-l))

average force x 0.144 = 1800 x 9.8 x (-3-0.144)

average force = (1800 x 9.8 x (-3-0.144)) ÷ 0.144

average force = 385,140 N

3 0
3 years ago
Write the meaning of an object has 2 meter length
Ivahew [28]

Answer:

The object has 2 meter length. This means the length is any quantity with a dimension distance. The definition of the length is how long something is or amount of space. In the given data it is stated that, the object is something that has a length of 2 meter.  

<em>Let's take examples to understand. </em>

For example a thread or a table is an object which has a total length of 2 meters.  

Another example is something we are measuring it gives us a result of 2 meters of length by using a meter scale or meter tape.    

Length is a measure of distance and it is a fundamental quantity. Meter is a international system of units (SI units).    



 



4 0
4 years ago
body is suspended from the ceiling with two wires that make an angle of 40° with the ceiling. The weight of the body is 150N. Wh
steposvetlana [31]
<span>The wires are suspended diagonally, meaning the tension in each is directed diagonally as well (along the wire). We can, however, talk about the horizontal and vertical components of the tension force. The horizontal tension force in each wire is Tcosθ, while the vertical tension force is Tsinθ. The horizontal tension forces balance one another, because the wires are pulling in opposite directions. This means Tcosθ=Tcosθ, which is obvious but not very helpful. If you look at the vertical tension forces on the other hand, you can see that they must balance the weight of the body for the system to be in equilibrium. In other words: Tsinθ+Tsinθ=mg You're given enough information in the question to solve for T using this equation!</span>
3 0
3 years ago
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