What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?

[jdmaxwell02]

Homework Statement

I've tried using kinematics but still can't get the right answer

Relevant Equations

a_rad = w^2*r

A potter's wheel with a 35.9 cm radius rotates with a 2.91 rad/s2 angular acceleration. After 5.37 s, the wheel has rotated through an angle of 77.7 rad.
a)What linear distance did a point on the outer edge travel during the 5.37 s?
b)What was the initial angular velocity of the wheel?
c)What was the angular velocity of the wheel at 5.37 s?
d)What is the centripetal acceleration at 5.37 s?

 

[haruspex]

Homework Statement: I've tried using kinematics but still can't get the right answer
Homework Equations: a_rad = w^2*r

A potter's wheel with a 35.9 cm radius rotates with a 2.91 rad/s2 angular acceleration. After 5.37 s, the wheel has rotated through an angle of 77.7 rad.
a)What linear distance did a point on the outer edge travel during the 5.37 s?
b)What was the initial angular velocity of the wheel?
c)What was the angular velocity of the wheel at 5.37 s?
d)What is the centripetal acceleration at 5.37 s?

Per forum rules, please post your attempt.

 

[jdmaxwell02]

Ive calculated delta theta, but since it’s not correct I cannot continue

 

[haruspex]

Ive calculated delta theta, but since it’s not correct I cannot continue

What is this Δθ you are calculating? You are given the angle through which it rotates.

 

[jdmaxwell02]

What is this Δθ you are calculating? You are given the angle through which it rotates.

The linear distance

 

[haruspex]

The linear distance

Well, that's an unusual choice of notation. It looks like a change in some angle.
You are overthinking this part of the question. What is the relationship between the angle a wheel rotates and the distance around the edge that a point on the circumference moves?

 

[jdmaxwell02]

Well, that's an unusual choice of notation. It looks like a change in some angle.
You are overthinking this part of the question. What is the relationship between the angle a wheel rotates and the distance around the edge that a point on the circumference moves?

Wow, I really was.
θr= arc length
77.7 rad * .359 m= 27.9 m

 

[haruspex]

Wow, I really was.
θr= arc length
77.7 rad * .359 m= 27.9 m

Ok.
On to the next part.