e. What is the angular velocity at the wrist joint in radians per second? f. What is the tangential velocity at the distal end of the hand in meters per second? G. What is the total tangential velocity at the distal end the whole upper extremity in meters per second? FORMULAS AND INFORMATION TO USE: - 360 degrees = 2pi radian or 6.284 - 1 radian = 360 degrees / 6.284 - 1 radian =57.3 degrees -(x) angle in degrees/57.3 degrees radian = (x) radians -(x) radians * 57.3 degrees/ radians = (x) degrees - Absolute [segment] angles: theta = tan^-1 (opp/adj) = y2-y1/x2-x1 = proximal y distal y divided by proximal x - distal ✗ - If a negative angle is clockwise from the left horizontal, to convert counter-clockwise angle from the right, add 180 degrees. oppy2-Y1 adi = X2-X1 (X2,Y2) opp Ꮎ (X1.V1) adj - To calculate relative angles, use the formulas: Ohip = thigh-trunk Oknee = Othigh- Oshank Oankle = foot-shank - 90° tane shank Kneey Ankley Kneex Anklex - Angular velocity is also απ Δω Δι i At - Angular acceleration (a) = wfinal-winital (units is Tad tfinal-tinital • Angle ([A]in radians) = • Arc length (As) Radius of rotation (r) Arc length(As) = Radius of rotation(r) x angle ([A]in radians) • LINEAR AND ANGULAR DISPLACEMENTS As = r AO • Tangential velocity formula is ✓=r*w (answer should be in m/s) * AO, THETA, R, A AND or w (OMEGA) need to be converted to radians. AS1 * Linear velocity = At Τ1 Αθ At • Tangential (VT) velocity depends on . Distance from radius of rotation (r) Angular velocity (w) EXAMPLLE OF TANGENTIAL VELOCITY WITH A FOOT: foot tangential velocity (VTfoot) depends on thigh Whip Wknee shank wwww Change in position ⚫Thigh length (high) and hip angular velocity (whip) •Shank length (shank) and knee angular velocity (knee) • Vr foot = ("thigh x Whip) + (Tshank xwknee) • To increase the foot tangential velocity, increase angular velocity of thigh and shank rotation Vfoot - Angular displacement is (A0) = RADIANS.) Ofinal Oinitial (NEVER EXCEEDS 360 DEGREES OR 2 PI Initial position Final position - Angular speed = angular distance/time (units is rad/s). - Angular velocity (w) final - initial = (units is rad/s) time final - time initial

e. What is the angular velocity at the wrist joint in radians per second? f. What is the tangential velocity at the distal end of the hand in meters per second? G. What is the total tangential velocity at the distal end the whole upper extremity in meters per second? FORMULAS AND INFORMATION TO USE: - 360 degrees = 2pi radian or 6.284 - 1 radian = 360 degrees / 6.284 - 1 radian =57.3 degrees -(x) angle in degrees/57.3 degrees radian = (x) radians -(x) radians * 57.3 degrees/ radians = (x) degrees - Absolute [segment] angles: theta = tan^-1 (opp/adj) = y2-y1/x2-x1 = proximal y distal y divided by proximal x - distal ✗ - If a negative angle is clockwise from the left horizontal, to convert counter-clockwise angle from the right, add 180 degrees. oppy2-Y1 adi = X2-X1 (X2,Y2) opp Ꮎ (X1.V1) adj - To calculate relative angles, use the formulas: Ohip = thigh-trunk Oknee = Othigh- Oshank Oankle = foot-shank - 90° tane shank Kneey Ankley Kneex Anklex - Angular velocity is also απ Δω Δι i At - Angular acceleration (a) = wfinal-winital (units is Tad tfinal-tinital • Angle ([A]in radians) = • Arc length (As) Radius of rotation (r) Arc length(As) = Radius of rotation(r) x angle ([A]in radians) • LINEAR AND ANGULAR DISPLACEMENTS As = r AO • Tangential velocity formula is ✓=rw (answer should be in m/s) AO, THETA, R, A AND or w (OMEGA) need to be converted to radians. AS1 * Linear velocity = At Τ1 Αθ At • Tangential (VT) velocity depends on . Distance from radius of rotation (r) Angular velocity (w) EXAMPLLE OF TANGENTIAL VELOCITY WITH A FOOT: foot tangential velocity (VTfoot) depends on thigh Whip Wknee shank wwww Change in position ⚫Thigh length (high) and hip angular velocity (whip) •Shank length (shank) and knee angular velocity (knee) • Vr foot = ("thigh x Whip) + (Tshank xwknee) • To increase the foot tangential velocity, increase angular velocity of thigh and shank rotation Vfoot - Angular displacement is (A0) = RADIANS.) Ofinal Oinitial (NEVER EXCEEDS 360 DEGREES OR 2 PI Initial position Final position - Angular speed = angular distance/time (units is rad/s). - Angular velocity (w) final - initial = (units is rad/s) time final - time initial