Supporters for a certain presidential candidate held a bicycle caravan in a provincial town. One volunteer, weighing 75kg, is pedaling his new bike with wheels of radius 480mm. In his travel, the rear wheel rotated at 16 rad/s while pedaling at 9 rad/s. The chain connects both the front sprocket (propelled by the pedal) and the rear sprocket. If the front sprocket is 80mm in radius, what should be the required diameter (in mm) of the rear sprocket? Rear sprocket Pedal crank Front sprocket Chain
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- As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α). Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip. The linear velocity of the belt must be the same so αArA=αCrC. The relationship between angular acceleration and angular speed is ω=αt. 2pi rad = 1 rev. Don't forget to convert to consistent units.The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.95 cm and is rolled by the beetle at 6.10 cm/s. (a) What is the rolling ball's angular speed (in rad/s)? rad/s (b) How many full revolutions are required if the beetle rolls the ball a distance of 1.35 m?An old vinyl record is a thin plastic disk of radius 0.25 m and mass 126 g. It is freely rotating at 45 rev/min. You are able to stop the record from rotating in 6 s by pressing your finer against the rim and exerting a radially directed force of 9 N. (Recommendation: If you don't know what a vinyl record is, please do a Google search for an image to help your understanding.) What is the coefficient of kinetic frictions between the record and your finger??
- The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.80 cm and is rolled by the beetle at 6.15 cm/s. HINT (a) What is the rolling ball's angular speed (in rad/s)? rad/s (b) How many full revolutions are required if the beetle rolls the ball a distance of 2.40 m? revIn the figure, wheel A of radiusrA = 13.9 cm is coupled by belt B to wheel C of radius rc = 24.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.45 rad/s². Find the time needed for wheel C to reach an angular speed of 50.5 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) Number i UnitsA playground merry-go-round of radius 4m has a moment of inertia of 324 kg m² and is rotating at 11 rev/min about a frictionless vertical axle. Facing the axle, a 25.0 kg child hops on and manages to sit down on the edge. What is the new rotational speed of the merry-go-round in rev/min?
- In the figure, wheel A of radius -9.40 cm is coupled by belt B to wheel C of radius rc-26.1 cm. The angular speed of wheel A is increased from rest at a constant rate of 2.53 rad/s². Find the time needed for wheel C to reach an angular speed of 63.0 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) Number Ma Units BA car is undergoing an emissions test. The car is stationary on rollers while the gas pedal is depressed until the speedometer reads 60 km/h. The wheels are 54 cm in diameter. Find their angular speed.A 170-kg merry-go-round of radius 2.10 m is rotated by pulling a rope that is wrapped around its edge. What is the magnitude of the force (assume it to be constant) on the rope needed to bring the merry- go-round from rest to an angular speed of 0.400 rev/s in 3.00 s? (The moment of inertia of merry-go- round is 1/2MR2).