A car traveling at 31 m/s runs out of gas while traveling up a 8.0° slope.

Q: The moon goes around the earth once every 27.3 days. If the centripetal acceleration it feels is…

A: solution is given as

Q: A turbine is spinning freely at 3600 rpm.  It takes 10 min to coast to a stop due to friction in the…

A:

Q: A ferris wheel with radius 12 m makes a revolution every 3 minutes. Find the linear (tangental)…

A: Linear speed is defined as rate of change of distance. v=dt     ......1 where d is distance  t is…

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

A:

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: 400 RPM (rev per min) to rad/sec

A: One revolution is equivalent to 2π radian and 1 minute is equivalent to 60 seconds.

Q: (a) Convert 49.0 rev/min to radians per second. rad/s (b) Convert 3.95 rad/s to rev/min. rev/min…

A: Part (a): Given: The angular speed of the object is 49 rev/min.   Calculation: The angular speed in…

Q: How long in seconds does it take for the propeller to turn through 37°?

A: Givenθ=37°ω=1800 rev/min

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: An object with mass 2.50 kg is moving along a circular path with a radius of 2.20m. At an instant…

A:

Q: When an object is in uniform circular motion, the acceleration of the object toward the center axis…

A:

Q: A 0.25 m diameter-grinding wheel rotates at 28,000 rpm (revolutions per minute).  If it is brought…

A:

Q: A metal rod with a length of 27.0 cm lies in the ry-plane and makes an angle of 39.0° with the…

A:

Q: Hi! I'm struggling with this question on my trigonometry homework about linear velocity. Here is the…

A: Angular velocity is define as the angle rotated per unit time. First we find angular velocity in…

Q: A disk spins at 4.0 revolutions/second. What is its period, in second?

A:

Q: An automobile tire is rated to last 50000 miles.to an order magnitude, through how many revolutions…

A:

Q: A disk spins at 3.0rev/s speeds up to 15rev/s at a steady rate over a time of 24.0 seconds. Through…

A: Given data: Initial angular velocity (ω0) = 3.0 rev/s Final angular velocity (ω) = 15 rev/s Time (t)…

Q: A drive has a maximum speed of 10000 revolutions per minute. If a disc has a diameter of 14 cm, what…

A:

Q: For a centrifuge rotating at 5.91e+3 rpm (rpm = revolutions per minute) with a radius of 1.27 cm,…

A:

Q: A car tire is 64.0 cm in diameter. The car is traveling at a speed of 25.0 m/s. (1)What is the…

A: Diameter of car tire is D = 64.0 cm = 0.64 mTherefore, the radius of the car is R = 0.32 mThe speed…

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: A small nail stuck in your car tire moves on a circular path with a radius of 35 cm. When the nail…

A:

Q: The tires of a go-kart are 1 m in circumference. The tires revolve 15 times per second. What is the…

A: Circumference, C = 1 m Number of revolution in one second, n = 15  Time, t = 40 sec Distance, d = ?

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.