A tree 540 m away subtends an angle of 2 degrees. Find the height of the tree.

Q: A car has wheels of radius 30 cm. It starts from rest and accelerates uniformly to a speed of 15 m/s…

A: Given: Radius of the wheel: r=30 [cm]=0.3 [m] Initial velocity: u=0 [m/s] Velocity: v=15 [m/s] Time:…

Q: A wheel 25cm in radius turning at 120 rpm increases its speed to 660 rpm in 9s. Find tangential…

A: Given: Radius = 25 cm= 0.25m Initial angular velocity: Final angular velocity: Angular…

Q: Angle of rotation is often measured in revolution. Please determine how many radians is equivalent…

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Q: Turn to chapter 4, problem 46, expect let's have the cliff angled at 21 deg., the skier launching at…

A: Given: Expect let's have the cliff angled at 21 deg., the skier launching at 20 m/s, and the cliff's…

Q: (a) Convert 41.0° to radians, using the appropriate conversion ratio. rad (b) Convert 2.46 rad to…

A: Given Data, Degree=41.00 Radian=2.46 Rad radius of the circle (r)=1.60 m Subtended Angle (θ)=41.00

Q: A cyclist riding at a speed of 22 m/s taking a turn round circular path of radius 44 m. what is its…

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Q: An electric train has to travel on a railway track with a curve of radius 120 m with a speed of 36…

A: We have given data :                          v=36 kmph=36×10003600=10 ms-1…

Q: A motor cyclist going along banked circular path has to lean inwards making an angle of (21° 49')…

A: To find-Speed of motor cyclist (V)=?Given-Angle of banking (θ)=210 49'Path length (l)=1 km=1000…

Q: An aeroplane flying at 89 m/s makes a turn of radius 914 m. By what angle will the aircraft tilt?

A: Formula of angle at which aircraft will tilt is as follows; tanθ=v2Rg…

Q: Angle of rotation is often measured in revolution. Please determine how many radians is equivalent…

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Q: The super elevation of the railroad tract is the number of inches that the outside rail is raise to…

A: The super elevation of the railroad tract is the number of inches that the outside rail is raise to…

Q: A 72-cm-diameter wheel accelerates uniformly about its center from 60 rpm to 300 rpm in 5.0 seconds.…

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Q: An object is moving in a circular path of radius R. If the object moves through an angle of 30…

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Q: An object is located at x, y, z = 10, 3, 15 [m] from the origin.  What is the distance and bearing…

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Q: A physics experiment is set up using two pulleys, a string, and a weight as shown below. The larger…

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Q: If the Earth , supposed to be a uniform sphere contracts slightly so that its radius becomes less by…

A: The relations between the time period will be

Q: The banking angle of a curved road with radius of curvature 45m, for a design speed of 60km/h.

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Q: (a) Convert 34.0° to radians, using the appropriate conversion ratio. rad (b) Convert 2.32 rad to…

A: In this problem we have degree to radian  conversion problem in part (a) and radian to degree…

Q: An old streetcar rounds a flat corner of radius 9.70 m, at 13.0 km/h. What angle with the vertical…

A: The old streetcar rounds a flat corner of radius:  Speed of the old streetcar(v) is

Q: Why is the value negative for the radius of the wheel in vector form?

A: The value for the radius of a wheel is not inherently negative in vector form. In fact, the radius…

Q: A highway curve of a radius of 400 m is designed for traffic moving at a speed of 91.0 km/hr. What…

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Q: 3. Three forces that act on a particle are given by F 12i + 18j, F = -30- 7j, and F3 %3D | 221 – 8j.…

A: Given data The vector notation for the first force is given as F1→=12i^+18j^. The vector notation…

Q: A ferris wheel has a radius of 10 m and its center is 12m above the ground, when the passenger is…

A: Given:Radius,R=10 mspeed=1.81 m/sFind the speed of rotation of wheel in rpmNow,When the passenger to…

Q: 8. Conceptual Example 2 provides some relevant background for this problem. A jet is circling an…

A: Given: The distance is r=18 km. The angle is θ=9.04×103 rad. The expression for distance (D)…

Q: A gear of radius 12 cm is used to turn a gear of radius 7 cm. If the larger gear turns  through…

A: Given Data : The radius of the 1st gear is given as R1= 12cm. The radius of the 2nd gear is given as…

Q: What angle in radians is subtended by an arc 1.57 m long on the circumference of a circle of radius…

A: Given: The length (l) of the arc is 1.57 m. The radius (r) of the circle is 2.45 m. Introduction:…

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.