A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the following according to whether they are 0 in value, constant in value, or change: v: linear speed (scalar) v. linear velocity (vector) a: radial (centripetal) acceleration (scalar) a: radial (centripetal) acceleration (vector) u angular speed (scalar) w angular velocity (vector) a angular acceleration (scalar) a angular acceleration (vector constant and non-zero constant and 0 non-constant radial acceleration (scalar) radial acceleration (vector) angular velocity (vector) linear velocity angular acceleration (vector) linear speed angular speed angular acceleration (scalar)

A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the following according to whether they are 0 in value, constant in value, or change: v: linear speed (scalar) v. linear velocity (vector) a: radial (centripetal) acceleration (scalar) a: radial (centripetal) acceleration (vector) u angular speed (scalar) w angular velocity (vector) a angular acceleration (scalar) a angular acceleration (vector constant and non-zero constant and 0 non-constant radial acceleration (scalar) radial acceleration (vector) angular velocity (vector) linear velocity angular acceleration (vector) linear speed angular speed angular acceleration (scalar)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section5.3: Nonuniform Circular Motion

Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...

See similar textbooks

Similar questions

In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?
Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.
A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15
A wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are 20 m in length. (a) What is the angular acceleration of the turbine? (b) What is the centripetal acceleration of the tip fo the blades at t=0s ? (c) What is the magnitude and direction of the total linear acceleration of the tip of the blades at t=0s ?
The athlete shown in the figure below rotates a 1kg discus along a circular path of radius 1.06m. The maximum speed of the discus is 20m/determine the magnitude of the maximum radial acceleration of the discus.
A car is moving in a circular path, see figure below. The velocity vectors are represented as arrows. In which case the car experiences tangential acceleration? Case A Case B Select one: O Case A O Case B O None of the cases O In both cases
› An ultracentrifuge accelerates from rest to 9.97 × 105 rpm in 1.87 min. What is its angular acceleration in radians per second squared? angular acceleration: What is the tangential acceleration of a point 9.50 cm from the axis of rotation? tangential acceleration: radial acceleration: rad/s² What is the radial acceleration in meters per second squared and in multiples of g of this point at full revolutions per minute? radial acceleration in multiples of g: m/s² m/s²
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 223 m, and the car completes the turn in 40.0 s. 0 35.0⁰ x (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and ĵ. -0.233 X First find the magnitude of the acceleration; then work out the components of the vector. m/s² 1 + 0.163 Note that 223 is one quarter of the circumference of the circular path. m/s² ĵ (b) Determine the car's average speed. m/s (c) Determine its average acceleration during the 40.0-s interval. m/s² î+ m/s² j X
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 254 m, and the car completes the turn in 35.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and ĵ.____ m/s2 î + ____ m/s2 ĵ(b) Determine the car's average speed.____ m/s(c) Determine its average acceleration during the 35.0-s interval.___ m/s2 î + m/s2 ĵ