A wheel with a weight of 389 N comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at an angular velocity of 22.8 rad/s. The radius of the wheel is 0.592 m and its moment of inertia about its rotation axis is 0.800 MR². Friction does work on the wheel as it rolls up the hill to a stop, at a height of h above the bottom of the hill; this work has a magnitude of 3462 J.

Q: 4. An object was projected from a 100 m height location (point A), with the initial horizontal…

A: Height is Initial horizontal velocity is Initial vertical velocity is Gravitational acceleration is…

Q: A motorboat travels along a circular path with the radius equal to 50m. It starts from rest and…

A: Solution:-Given thatRadius of circular path (R)=50 mStarts from rest i.e. initial speed (u)=0Speet…

Q: What is the speed of a car moving around a circle of radius 20m if its acceleration is 5m/s^2?

A: Radius of the circle is R = 20 m Centripetal acceleration of the car is ac = 5 m/s2

Q: A civil engineer calculates that the magnitude of the maximum centripetal acceleration of a car on a…

A: Given:- Magnitude of the maximum centripetal acceleration of the car is ac,max=4.40 m/s2 Speed of…

Q: 6. The Grand Canyon is 6,093 feet (1857 meters) deep. (Ignore air resistance) If you dropped a rock,…

A: Given: Δx = 1857m

Q: 4 .A plane travelling at 78 km/h [N] is blown westward by a wind with a speed of 56.0 km/h. What is…

A:

Q: ou are riding a galloping horse around a circular track at a constant speed. Does the horse's…

A:

Q: 1. A 500.0g plumbob hangs from a string inside of a train car. When the train car accelerates…

A:

Q: A basketball player shoots toward a basket 6.7 m away and 3.0 m above the floor. If the ball is…

A:

Q: You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors…

A:

Q: An airplane is flying at 90 m/s [SW]. The pilot performs a 180° turn in 30.0 s without changing…

A:

Q: What is the acceleration due to gravity on Planet Y? Assume Planet Y has a mass of 4.33 x 1023 kg…

A:

Q: 2. An object is initially suspended at the height yo = 200 m above the surface of the Earth and at…

A:

Q: On a distant planet, a ball is thrown straight up with a speed of 35_m/s, and the ball reaches a…

A: A ball is thrown straight up with an initial speed of v0=35 ms2 it reaches the height of y=63 m…

Q: If VA =1.7 m/s and VB =1.3 m/s, as shown, determine the speed of cylinder C, i.e., vc|. Give your…

A: Solution:   Given Values, Speed of cylinder A vA =1.7 m/s Speed of cylinder B vB=1.3 m/s Speed of…

Q: In the circular motion experiment, if the rubber piece ( m= 15 g) rotates in a circular path with a…

A: Given: Mass, m=15 g=0.015 kg Radius, r=0.59 m Frequency, f=2.1 Hz Formula: Fc=mrω2

Q: ace car goes around level, circular track with a diameter of 1.00 km at a constant speed of 99 km/h.…

A:

Q: Different situation now. You re out in space, on a rotating wheel-shaped space station of radius…

A: Radius = r=1159 m g=9.81 m/s2

Q: You're designing a highway so that the maximum centripetal acceleration on a curve is no more than…

A: Calculating the required radius of curvature:

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in…

A: a)The required acceleration is,

Q: 3. An object is dropped from a height h above the surface of the Earth such that it experiences an…

A: Gravitational acceleration decrease to 0.76g 9n going to 38.43km above the earth surface.…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.