What angle in radians is subtended by an arc 6ft in length, on the circumference of the circle whose radius is 4ft.

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: 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: The tires of a bicycle have a radius of 12 inches and are turning at the rate of 100 revolutions per…

A: Ans:- Image-1

Q: A wheel has a radius of 8 m. How far (path length) does a point on the circumference travel if the…

A: Given data:  Radius (r) = 8 m Angle rotated (θ) = 50 rev

Q: A Ferris wheel has diameter of 10 m and makes one revolution in 8.0 seconds. A person weighing 6 N…

A: Given:- The Ferris wheel has a diameter of d = 10 m  The time for the revolution  t= 8 second…

Q: tire has 212,000 revolutions in one day and three hours. What is the speed in radian per second?

A: Solution

Q: An angular velocity of 10 rad/s is how many revolutions per minute (RPM)?

A:

Q: A toy top accelerates from rest to 17 rad/s in 0.50 s. How many revolutions does it make?

A: Given: final angular velocity ω=17 rad/sinitial angular velocity ωo=0 [starts from rest]time t…

Q: 50 radians are equal to how many degrees?

A: In the given problem we have to convert 50 rad into degree. Relation between radian and degree is π…

Q: The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35…

A:

Q: What are the units/dimensions of radians?

A: The radian is usually referred to as the angle (θ). An angle θ is measured in radians. Consider a…

Q: A wheel of radius 5.9 cm is rotating at 600 radians per second. The linear velocity of particle at…

A: Given in question: Radius(R) = 5.9 cm = 0.059 meter                                 Angular…

Q: It takes 2π radians (rad) to get around a circle, which is the same as 360°. How many radians are in…

A: It is given that ,  Therefore,

Q: The earth, with a radius of 6.4 x 106 m, rotates on its axis once a day. What is the speed of a…

A:

Q: • The following angles are given in degrees. Convert them to radians: 30°, , 180°

A:

Q: The centrifugal force, C, of a body moving in a circle varies jointly with the radius of the…

A: Given data m1=6 gr1=100 cmt1=2secF1=6000 dynesm2=18 gr2=100 cmt2=3sec

Q: A merry-go-round with a diameter of 5.3 m completes one revolution every 4.1 s. What is the speed of…

A:

Q: A Tire has a radius of 0.58 m. If it is driven of 2.8 km, What is the total angle that it has…

A: Given : Radius of Tyre, R =0.58 m Distance driven D = 2.8 km Required :  Total angle rotated by the…

Q: A car starting from rest moves with a constant acceleration of 10 km/hr2 for 1 hour, then…

A:

Q: What angle in radians is subtended by an arc that has length 2.50 m and is part of a circle of…

A: Given data:  Arc length (s) = 2.50 m Radius (r) = 1.5 m

Q: How many revolution does a bike has if its angular velocity per day is 18100 radians and rotates for…

A: Solution

Q: The speed of a person standing on the equator, due to the earth's rotation.

A:

Q: How many radians represent one and a half revolutions?

A: Given data:  Angular displacement (θ) = 1.5 rev Required: Angular displacement in radians

Q: rotation

A: In a uniform circular motion, a centripetal force acts towards the circle and the object moves in a…

Q: A compact disk 145 mm in diameter is rotating at 25 rpm. If it takes 12 complete revolutions before…

A: Using the equation of rotational kinematics: where, ω  = final angular velocity ω0 = initial…

Q: A bicycle is traveling uniformly at 14 kilometers per hour.Its wheels have a 60 cm diameter.Find the…

A: Given data:  Speed (v) = 14 km/h Diameter (d) = 60 cm = 0.60 m Time (t) = 10 s Required: The number…

Q: The following angles are given in degrees. Convert them to radian: 30°, 45°, 60°, 90°, 180°.

A: The relation between angle in degrees and radian is; 180°=π rad1°=π180 rad

Q: Through how many radians does a point on the Earth's surface move in 6.00 h as a result of the…

A:

Q: (1)Convert from degrees to radians 200 10 120 56° 600

A: To find: degree to radian conversion

Q: An automobile with 0.260 m radius tires travels 80,000 km beforewearing them out. How many…

A: Number of revolutions will be,

Q: A boy rides his bicycle 2.00 km. The wheels have radius 30.0 cm. What is the total angle the tires…

A:

Q: A yo-yo which is 3 inches in diameter spins at a rate of 5000 revolutions per minute. How fast is…

A:

Q: A wheel has a radius of 8 m. How far (path length) does a point on the circumference travel if the…

A:

Q: An automobile with 0.310 m radius tires travels 80,000 km before wearing them out. How many…

A: We can use unitary method to calculate number of revolution made by the tire:  2πr distance = One…

Q: A wheel of radius 75cm is rotating with a frequency of 3.0Hz about a fixed axis of rotation. What is…

A: Given data:  Radius (r) = 75 cm = 0.75 m Frequency (f) = 3.0 Hz Required: The linear speed (v)

Q: Express the following angles in radians: (a) 20.0°, (b) 50.0°, (c) 100°. Convert the following…

A: Given: (a) 20.0°, (b) 50.0°,(c) 100°. Convert the following angles to degrees: (d) 0.330 rad,(e)…

Q: A railroad curve is laid out on a circle. What radius should be used if the track is to change…

A: Given values: Angle, θ=20 ° Distance, s=100 miles

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: A car drives 21 km on a bearing of 343°. If its position is defined in terms of Cartesian…

A: The angle 3430 can also be written as, 3430=-(360-343) 3430=-170

Q: A person sitting on the edge of a 1.5-m radius merry-go-round makes 18 revolutions. How far did they…

A: Circumference of a circle is given by, C = 2πrhere r is the radius of the circle Now in 1 revolution…

Q: A car whose wheels are 30 cm in radius is travelling with a constant velocity of 110 kph. If it is…

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Q: • The following angles are given in degrees. Convert them to radians: 30°, 45°

A: The degree to radian- Both degree and radian represent the measure of an angle. One complete…

Q: A wheel of radius 4.4 cm is rotating at 600 radians per second. The linear velocity of particle at…

A: