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Semenov [28]
3 years ago
11

g A rotating wheel requires 5.00 s to rotate 28.0 revolutions. Its angular velocity at the end of the 5.00-s interval is 96.0 ra

d/s. What is the constant angular acceleration (in rad/s) of the wheel
Physics
1 answer:
Setler [38]3 years ago
5 0

Answer:

The angular acceleration of the wheel is 15.21 rad/s².

Explanation:

Given that,

Time = 5 sec

Final angular velocity = 96.0 rad/s

Angular displacement = 28.0 rev = 175.84 rad

Let \alpha be the angular acceleration

We need to calculate the angular acceleration

Using equation of motion

\theta=\omega_{i} t+\dfrac{1}{2}\alpha t^2

Put the value in the equation

175.84=\omega_{i}\times 5+\dfrac{1}{2}\times\alpha\times(5)^2

175.84=\omega_{i}\times 5+12.5\alpha......(I)

Again using equation of motion

\omega_{f}=\omega_{i}+\alpha t

Put the value in the equation

96.0=\omega_{i}+\alpha \times 5

On multiply by 5 in both sides

480=\omega_{i}\times 5+\alpha\times 25....(II)

On subtract equation (I) from equation (II)

480-175.84=\alpha(25-5)

304.16=\alpha\times20

\alpha=\dfrac{304.16}{20}

\alpha=15.21\ rad/s^2

Hence, The angular acceleration of the wheel is 15.21 rad/s².

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Hope this helps!
7 0
3 years ago
Explain why when landing on a firm surface after a fall you should not land with stiff legs.
Digiron [165]

While lending on a surface, we should bend our knees

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transfers a part of reactionary force to thick thigh and calf muscles whicch act as dampers absorbing a part of energy and provides cushioning effect.

Explanation:

We know that Force equal Mass times acceleration.

Acceleration equals the change in velocity per unit time. Hence if the time involved in velocity change is large, resultant acceleration would be less. Hence the resulting force would also be of less magnitude.

The above explanation owes to the act of bending of knees while jumping.

When we jump and simultaneously land, we fall with a force equalling “mass of our body * gravity”. Upon our landing, on the ground, the reactionary force is transmitted to our legs.

Considering our legs are stiff and straight, the force travels quickly through the bones and muscle without sufficient change in the velocity. Hence, we experience nearly the same force on our bones as a result of which bones some-times buckle.

A safer way to land is Landing while folding of the legs. By folding our legs, we give force extra time to travel through the bended section of knee bones. During the travel, the force interacts with thick thigh and calf muscles which act as dampers and absorbs some amount of force.  

By bending, we also increase the time thus decreasing acceleration, hence the force on legs. Thus, by the dual effect of increasing time and damping effect out legs are saved from the excessive buckling effect and remain safe.

6 0
4 years ago
Which of the following best defines force
nataly862011 [7]

Answer:

force is a push or a pull

8 0
4 years ago
The area beneath an acceleration vs time graph is equal to - 10. If the initial velocity of the object is 25 m/s. What is its fi
forsale [732]

The area of the graph of acceleration time is at

at = v - u

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7 0
3 years ago
What is the same about a particle as gas, liquid, or solid?
Mademuasel [1]

Answer:

C

Explanation:

The chemical composition has particles like a gas liquid and solid

5 0
3 years ago
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