A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.00 m long, his tangential speed at the bottom of the swing is 7.50 m/s. What is the centripetal acceleration, in m/s2, of the child at the bottom of the swing?

Q: Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a…

A: A) Let n and ω denote the rotor’s given rate of rotation and its angular speed, respectively. The…

Q: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc…

A:

Q: Chris tied a 902g rock to a rope and swung it above his head, making 35 complete revolutions in two…

A: Mass of rock (m) = 902 g = 0.902 kg Number of revolutions in 2 minutes = 35Number of revolutions in…

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

A: Radius of space station, r = 1249 m.Gravity, g = 9.81 m/s2.

Q: 2. A tether ball tied to a pole by a rope swings in a circular path with a centripetal acceleration…

A: The centripetal acceleration, The tangential speed,

Q: A plane with a wingspan of d=25.6m loses control in flight and begins to spiral in a circle around…

A:

Q: You re out in space, on a rotating wheel-shaped space station of radius 1030 m. You feel planted…

A:

Q: Consider the following figure. 40 m 80 m A race track is constructed such that two curves of…

A:

Q: A medical saw is rotating at a constant rate of 15 revolutions per second. If it has a radius of 12…

A: Given data:  Angular velocity (ω) = 15 rev/s Radius (r) = 12 cm = 0.12 m Required: Centripetal…

Q: An amusement park ride consists of a car which takes riders through a vertical loop at a constant…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you…

Q: A light, rigid rod is 75.5 cm long. Its top end is pivoted on a frictionless horizontal axle. The…

A: Given, Length of rigid rod=75.5 cm Let speed at the lowest point is Ui m/s

Q: Objects that are at rest relative to Earth’s surface are in circular motion due to Earth’s rotation.…

A: Given Data :  position of painting = latitude of 40.2 degrees North  To Find :  radial acceleration…

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: Given: Radius of circular path, r=1.33 m Centripetal acceleration, αcp=4.8 g m/s2 To find: Spinning…

Q: A college student holds a pail full of water by the handle and whirls it around in a vertical circle…

A: Given data: The radius of circle is R=0.95 m.

Q: An ultracentrifuge accelerates uniformly from rest to 100,000 rpm in 2.0 min. If this…

A:

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: Radius , R = 3.37 m centripetal acceleration , a = 2.5 g To find = spinning speed in rpm

Q: rock is tied to a 2 m long string and spun in a horizontal circle. The rock has  an acceleration of…

A:

Q: For the particle below, find it's (a) radial acceleration (b) tangential acceleration. (C) If it is…

A:

Q: A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall…

A: The tangential speed at the bottom of the swing is, v=9.85 m/s The radius of the swing's circular…

Q: 6. A Ferris wheel with radius 14 m is turning about a horizontal axis through its center. The linear…

A:

Q: A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall…

A:

Q: The athlete shown in the given Figure rotates a 1.9-kg discus along a circular path of radius 1.1 m.…

A: Given: The mass of the ball is 1.9 kg.  The radius of the circular path is 1.1 m. The maximum radial…

Q: Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the…

A: The centripetal acceleration is given by  a =r w2 where, r is the length and w is the angular speed.…

Q: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc…

A: Given data: Distance traveled (d) = 200 m Radius of circular path (r) = 35 m Time (t) = 24.2 s…

Q: A cyclist on a circular track is travelling at 20 ft/sec. His speed in the tangential direction…

A: Given data: Velocity of the cyclist, V=20 ft/s Acceleration in the tangential direction, at=4 ft/s2…

Q: object moving in a circular trajectory experiences both centripetal and tangential accelerations.…

A: Given: An object moving in a circular trajectory experiences both centripetal and tangential…

Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

A: SOlution: given that ac = 1.6g=1.6x9.8=15.68 m/s2 r = 6.02 m

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

A: Convert the maximum speed from km/h to m/s.

Q: In a medical lab, you put blood in tubes in a centrifuge to separate the plasma from the formed…

A:

Q: A car travels at a constant speed around a circular track whose radius is 2.53 km. The car goes once…

A: Radius of track (R)=2.53 km=2530 m Time period of car around the track (T)=365 s

Q: A green car starts off at the finish line at 0 m/s (initial velocity). The green race car does a…

A: length of track = 800 m initial velocity of red car = 0 m/s initial velocity of green car = 0 m/s…

Q: You are working in a biology lab and learning to use a new ultracentrifuge for blood tests. The…

A:

Q: A 2.0 x 103 kg car travels at a constant speed of 10.9 m s-1 around a circular curve of radius 30.2…

A: Given, It is given that the car travels around a circular curve. Mass of the car = 2 * 103 kg Speed…

Q: A student ties a washer to the end of a string and swings it in a circle over her head. The washer…

A: Given Data:The speed of the washer is v=2.4 m/s.The radius of the circular path is r=0.51 mTo…

Q: Consider a bike gear such as the two shown. Let's consider a gear that has a radius of 15…

A: Given: The radius of the gear is 15 cm. The speed of the gear is 4.9 m/s constant.

Q: The average distance from the Earth to the Sun is 149x106 km. It takes the Earth 1 year to go around…

A: Recall ar=ω2R=centripetal acceleration

Q: Q2. A particle P starts to move from rest at t = 0. Its Cartesian components of acceleration are ax…

A: (i) At,  Tangential acceleration, Normal acceleration,

Q: QUESTION 10 An object initially moving with a velocity of 5.00 m/s South, slows down and changes its…

A: Q10.  Remember that average acceleration is given by: a_avg = change in velocity/time interval a_avg…

Q: A cyclist on a circular track of radius r = 800 feet is  traveling at 27 ft s^-1. His speed in the…

A:

Q: Candor is a space station that looks like a cylinder. Astronauts who are inside reside at a radius…

A: Given r=187 m (radius of space station) ac=2.8g=2.8*9.8=27.44 m/s2 (centripetal acceleration)

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.