Q.73 A Ferris wheel of radius R speed... [FREE SOLUTION]

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Chapter 4: Q.73 (page 109)

A Ferris wheel of radius R speeds up with angular acceleration $伪$ starting from rest. Find an expression for the (a) velocity and (b) centripetal acceleration of a rider after the Ferris wheel has rotated through angle $鈭� 胃$ .

Short Answer

Expert verified

a. The velocity of a rider after the Ferris wheel has rotated through angle $鈭� 胃$ is $v = \sqrt{2 伪鈭� 胃} R$ .

b. The centripetal acceleration of a rider after the Ferris wheel has rotated through angle $鈭� 胃$ is $a = 2 伪鈭� 胃搁$ .

Step by step solution

Given information

A Ferris wheel of radius $R$ speeds up with angular acceleration $伪$ starting from rest. We have to find an expression for the (a) velocity and (b) centripetal acceleration of a rider after the Ferris wheel has rotated through angle $鈭� 胃$ .

Part a) Step 1: Calculation

The formula is:

${蝇_{f}}^{2} = {蝇_{i}}^{2} + 2 伪鈭� 胃$

Where,

$蝇_{f} is final angular velocity 蝇_{i} is inital angular velocity 伪 is angular acceleration 胃 is angle$

By putting values in formula:

${蝇_{f}}^{2} = 0 + 2 伪鈭� 胃蝇_{f} = \sqrt{2 伪鈭� 胃} v = 蝇_{f} 脳 R v = \sqrt{2 伪鈭� 胃} R$

Part b) Step 1: Calculation

For centripetal acceleration:

${蝇_{f}}^{2} = {蝇_{i}}^{2} + 2 伪鈭� 胃$

Where,

$蝇_{f} is final angular velocity 蝇_{i} is inital angular velocity 伪 is angular acceleration 胃 is angle$

Putting values in formula:

${蝇_{f}}^{2} = 0 + 2 伪鈭� 胃蝇_{f} = \sqrt{2 伪鈭� 胃} a = {蝇_{f}}^{2} 脳 R a = {(\sqrt{2 伪鈭� 胃})}^{2} R a = 2 伪鈭� 胃搁$

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91影视

A Ferris wheel of radius R speeds up with angular acceleration $伪$ starting from rest. Find an expression for the (a) velocity and (b) centripetal acceleration of a rider after the Ferris wheel has rotated through angle $鈭� 胃$ .

Short Answer

Step by step solution

Given information

Part a) Step 1: Calculation

Part b) Step 1: Calculation

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91影视

A Ferris wheel of radius R speeds up with angular acceleration 伪starting from rest. Find an expression for the (a) velocity and (b) centripetal acceleration of a rider after the Ferris wheel has rotated through angle鈭�胃.

Short Answer

Step by step solution

Given information

Part a) Step 1: Calculation

Part b) Step 1: Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Circular Motion and Gravitation

Solid State Physics

Radiation

Famous Physicists

Linear Momentum

Study anywhere. Anytime. Across all devices.

A Ferris wheel of radius R speeds up with angular acceleration $伪$ starting from rest. Find an expression for the (a) velocity and (b) centripetal acceleration of a rider after the Ferris wheel has rotated through angle $鈭� 胃$ .