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- A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car can traverse the curve without slipping?What Is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit?Check Your Understanding A flywheel has a radius of 20.0 cm What is the speed of a point on the edge of the flywheel if it experiences a centripetal acceleration of 900.0cm/s2 ?
- A geosynchronous satellite orbits Earth at a distance of 42,250.O km and has a period of 1 day. What is the centripetal acceleration of the satellite?A box is dropped onto a conveyor belt moving at 3.4 m/s. If the coefficient of friction between the box and the belt is 0.27, how long will it take before the box moves without slipping?A banked highway is designed for traffic moving at 90.0 km/h. The radius of the curve is 310 m. What is the angle of banking of the highway?
- Can tangential acceleration change the speed of a particle undergoing circular motion?Sapposing that the ag le of impact i Bó ( the angle between V and x amis), the tangential acceleration azAn 80N weight is swung in a vertical circle at the end of a cord of 1.20m long. If the velocity of the weight a the top is 4m per sec,what is the value of the tension in the cord at 150 degrees pasr the top position?
- The Centripetal Acceleration of the Earth (a) What is the centripetal acceleration of the Earth as it moves in its orbit around the Sun? SOLUTION Conceptualize Think about a mental image of the Earth in a circular orbit around the Sun. We will model the Earth as [-Select-- Vand approximate the Earth's orbit as circular (it's actually slightly elliptical). Categorize The Conceptualize step allows us to categorize this problem as one of a particle --Select- Analyze We do not know the orbital speed of the Earth to substitute into this equation: (1) With the help of the following equation, 2ar T- (2) .*.................. however, we can recast Equation (1) in terms of the period of the Earth's orbit, which we know isSelect- V: and the radius of the Earth's orbit around the Sun, which is 1.496 x 10** m. ............. . (Use the following as necessary: r and T.) Combine Equations (1) and (2): a Substitute numerical values to find the centripetal acceleration (in m/s): m/s² (b) What is the…What coefficient of friction do cars need on a flat curve? (a) Calculate the centripetal force exerted on a 950 kg car that negotiates a 450 m radius curve at m 20.0 S Enter to 3 significant figures Fo 0.224 N (b) Assuming an unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping (see figure below). W ! No, that's not the correct answer. Free-body diagram f N W ƒ = F Caption: This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Enter to 3 significant figures Hs= 0.224 √FBD's No friction Forces on pilot (top and bottom) Forces on nider (t0p and hottom) 8. The world's largest wind turbine has blades that are 80 m long (40 it short of a FB field) it makes 10.5 rev every I mimute. Through what distance does the tip move in one revolution? |503 m) b. What is the velocity of the tip of one the blades? [88 mis.thatl's 197 MPH] How long does it take for a blade to go around once? [5.7 ] C. Page +
