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 care package is released from an air plane traveling horizontally at a height of 720 m above the…

A: Initial horizontal velocity of package Ux = 115 m/s Initial vertical velocity of package Uy = 0 m/s…

Q: A boll rounds a 14 m radius curve at 9 m/s. The magnitude of it's acceleration in m/s2

A: Given data :                Speed    =    V                Radius    =     R        To find :…

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: A boll rounds a 28.12 m radius curve. at 8 m/s. The magnitude of it's acceleration in m/s².

A: V = Velocity of ball = 8 m/s Radius of circular path = R = 28.12 m ac = centripetal acceleration

Q: If a certain body will be placed at 25° latitude, compute its radial acceleration. Express your…

A: Time taken to complete one rotation,  T = 24 h = 24 × 3600 Radius of the earth is , r = 6371 km…

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: not enough information the altitude of this point from the center of Earth? Answer in terms of…

A: Given data: Acceleration due to gravity at altitude g' = 6.5 m/s2 Required: The altitude in terms of…

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

A:

Q: A boll rounds a 2 m radius curve at 4 m/s. The magnitude of it's acceleration in m/s².

A: Introduction :  In this question we are provided it value of  velocity and radius . With these data…

Q: 1. An ant travels 11.00 m [North], then 25.0 m [E 30.0 N] and finally 40.0 m [N70.0 W] to reach…

A:

Q: 1. Compute for the value of the acceleration due to gravity g of an object at an altitude equal to…

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: Spin Dizzzy. A 0.200 [g] bee flies at a constant speed along a horizontal circular path with a…

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: at 26 m/s. The magnitude of it's acceleration in m/s?

A: Given value--- radius = 40 m. speed = 26 m/s. We have to find--- acceleration?

Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A: Given data:  A uniform circular motion  Original radius (r) = 150 m Maximum speed (v) = 32.0 m/s New…

Q: A boll rounds a 28 m radius curve at 6 m/s . The magnitude of it's acceleration in m/s²

A: Given data Radius of the curve (r) = 28m Velocity of the hall(v) = 6m/s

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: What is the acceleration due to gravity on the top of Mt. Everest with an altitude 8.857 km? a.…

A:

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: A stone is dropped from rest near the surface of moon. The velocity of the stone after 1 second is […

A: Denote the initial velocity and final velocity with vi and vf respectively.

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: 8. A baseball leaves the bat at an angle of 37 degrees. Above the horizontal at a speed of 120 ft/s.…

A:

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.