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... Eq 1 0-2 3) places an upper limit of the rate of spin (the angular velocity ω) by considering a point at the rim (r = 0.25 m) Thus, ωmax = a/r = 40 rad/s Now we apply Eq 1 0-1 5 to first half of the... half of the motion takes the same amount of time (the process is essentially the reverse of the first); the total time is therefore 40 s (b) Considering the first half of the motion again, Eq 1 0-1 1... obtaining θ If using the result of part (a) is acceptable, then any angular equation in Table 1 0-1 (except Eq 1 0-1 2) can be used to find θ 11 We assume the sense of rotation is positive, which