{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

08-Rotational_Motion

# 08-Rotational_Motion - Translational vs Rotational Motion...

This preview shows pages 1–9. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Translational vs Rotational Motion Rotational speed = 2/T Translational speed v = 2r/T v = r Rotational speed = d/dt Translational speed v = ds/dt d ds For one complete rotation Angular and Rotational are used interchangeably. Angular acceleration = d/dt a =r Rolling Wheel Direction of Translational vs Rotational Motion (cont) In rotational motion force is replaced by torque, . In rotational motion inertia is measured as moment of inertia, I . In translational motion inertia is measured by mass, m. Moment of inertia, I , depends on the amount and location of mass. = r x F Newtons Second Law (rotational motion) = I Rotational (Angular) Momentum L = I The greater the distance the mass is from the center of rotation. the greater the Moment of inertia. I Disk = mr 2 I Ring = mr 2 Rotational Kinetic Energy. K R = I 2 Translational vs Rotational Motion (cont) Moments of Inertia Disk vs Ring E A = E B U A = K B (mgh) = mv 2 + I 2 v h A B (mgh) = mv D 2 + ( mr 2 ) (v D /r) 2 gh = v D 2 + v D 2 (4 gh/3) 1/2 = v D For a disk I = mr 2 For a ring I = mr 2 (mgh) = mv R 2 + (mr 2 )(v R /r) 2 gh = v R 2 + v R 2 gh = v R 2 (gh) 1/2 = v R v D /v R = (4/3) 1/2 v D /v R = 1.15 v D = 1.15v R Since neither m nor r are factors Any Disk will beat any Ring !...
View Full Document

{[ snackBarMessage ]}

### Page1 / 21

08-Rotational_Motion - Translational vs Rotational Motion...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online