When a rigid body rotates about a fixed axis all the points in the body have the

Question

When a rigid body rotates about a fixed axis all the points in the body have the same angular displacement. A) True B) False When a rigid body rotates about a fixed axis all the points in the body have the same linear velocity. A) True B) False An object is moving in a circular path with an angular speed of 3.77 rad/s. How long does it take the object to complete one revolution? A) 1.67 s B) 2.07 s C) 4.13 s D) 2.26 s 4.33s A wheel that is rotating at 12.5 rad/s is given an angular acceleration of 1.58 rad/s^2. Through what angle has the wheel turned when its angular speed reaches 30.4 rad/s? A) 486 rad B)697 rad C) 748 rad D) 243 rad

Explanation / Answer

5) When a rigid body rotates about a fixed axis all the points on the undergo same amount of angular diplacement in a given period fo time and have same angular velocity.

So, the statement is A) True.

***************************************************************************************************

6) When a rigid body rotates about a fixed axis, the linea velocity v of a point at a distance r from the axis is related to angular velocity , such that

v = r

So, different points would have same angular velocity , but would be placed at different positions from the axis making r different for different points which makes linear velocity v = r different for different points.

Hence the statement is B) False

***************************************************************************************************

7) In one revolution the object has angular displacment = 2

Now, we know that, = t, where is the angular velocity.

So we have:

= t

or 2 = (3.77rad/s)t

or t = 1.665s

***************************************************************************************************

8) i = initial angular velocity = 12.5rad/s

f = final angular velocity = 30.4rad/s

= angular acceleration = 1.58rad/s2

Let the angular displacement be , while the angular velocity changes from 12.5rad/s to 30.4rad/s

we have the formula:

f2 - i2 = 2

or = (f2 -  i2)/2 = [(30.4rad/s)2 - (12.5rad/s)2]/[2(1.58rad/s2)]

or = 243 rad.

So, D) is the correct option.

***************************************************************************************************

This concludes the answers. Check the answer and let me know if it's correct. If you need anymore clarification or correction I will be happy to oblige....

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.