Angular speed Examples

Angular speed Examples

• 1.
  Angular Speed Question1: 10 kg mass is moving in circular path of radius 5m, completes one round in 4 seconds. Calculate the linear speed and angular speed of mass. Solution: m = 10kg, r = 5m and t = 4 seconds, V = ? Linear speed, V = 2πrt = 2 x 3.14 x 54 V = 7.85 m/s Now, ω = Vr = 7.855 = 1.57 rad. /s Question 2: Calculate the angular speed of an hour hand. Solution: Angular distance = 2 π & T = 12 hours = 12 x 60 x 60 s = 43200 s (this is the time for one complete circular motion) Now, ω = 2πt = 2 x 3.1443200 = 1.45 x 10−4 rad. /s Question 3: What is the angular speed of earth of rotation of earth on its axis? Solution: Angular distance = 2 π = 2 x 3.14 = 6.28 rad. Time period (T) = 24 hours = 24 x 60 x 60 = 86400 s Now, ω = 2πt = 6.886400 = 7.27 x 10−5 rad. /s Question 4: A wheel of 0.60m in radius is moving with a speed of 10m/s. Find the angular speed. Solution: r = 0.60m and V = 10m/s Now, ω = Vr = 100.60 = 16.67 rad./s
• 2.
  Question 5: Theangular speed of wheel is 88 rad./s. Calculate the number of revolutions made by it in one second. Solution: ω = 88 rad./s 1 rad./s = (12π) rev. /s 88 rad./s = 88(2×227) rev./s = 14 rev/s. Marie Rose Domingo III- St. Ignatius of Loyola