1. [-33 Points] DETAILS in wheel rotates at a constant rate of 3.?0 x 103 revfrnin. (a) What is its angular velocity in radians per second? (Enter the magnitude.) E rams {b} Through what angle does it turn in 21 5? Express the solution in radians and degrees. Additional Materials D Reading 2. [-/5 Points] DETAILS An ultracentrifuge accelerates from rest to 100,000 rpm in 3.25 min. (Enter the magnitudes.) (a) What is the average angular acceleration in rad/s-? rad/$2 (b) What is the tangential acceleration (in m/s ) of a point 5.50 cm from the axis of rotation? m/s2 (c) What is the centripetal acceleration in m/s and multiples of g of this point at full rpm? a in m/s2 m/s2 a , as a multiple of g (d) What is the total distance traveled (in m) by a point 5.50 cm from the axis of rotation of the ultracentrifuge? m3. [-/1 Points] DETAILS At its peak, a tornado is 57.0 m in diameter and carries 325-km/h winds. What is its angular velocity in revolutions per second? rev/s Additional Materials Reading4. [-/8 Points] DETAILS MY Assuming the +x-axis is horizontal to the right for the vectors in the figure below, find the following vector products. (Express your answers in vector form. Assume the +z-axis is out of the page.) 60 art 12.4 O A A = 10.5 30 B 30 F = 20.1 B = 5.2 63 D D = 20.1 37 (a) A x C (b) A x F (C) D X C (d) A x (F + 2C) (e) ixB (f) j x B (g) (31 - j) x B (h) B x B5. [-/4 Points] DETAILS Find the cross product A x C for the following. (Express your answers in vector form.) (a) A = 6.01 - 6.0j + k and C = 9.01 + 2.0j + 18.0k A * C = (b) A = 9.01 + 2.0j + 18.0k and C = 6.01 - 6.0j + k A XC = (c) A = -9.01 - 2.0j and C = -9.01 + 2.0j A X C = (d) A = -6.0j and C = -6.01 + 9.0j + 6.0k A XC = T6. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In the diagram below, [A| = 3.03, [B| = 3.99, 0, = 20.0, and 0, = 40.0. The two vectors lie in the x-y plane. We use the standard rectangular coordinate system, with +x to the right, +y vertically up, and +z coming out toward you. B + X A X + Z (a) What is the magnitude of the cross product of the two vectors? A x BI = (b) What is the direction of the cross product of the two vectors? O + x O -x O +y O -y O +z O - z O no direction